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Paper Citation Record · LEDGER

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame

As of 14 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 0 inbound Pith citation observations for arXiv:2412.14578.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.14578 v1

Coverage vector

measured 66 of 66 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:15:02.471666Z

measured 66 of 66 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

66 of 66 outbound references displayed

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  • verified fuzzy63
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External citation measurements

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Outbound references

Observation a1aa25fa-7ec4-4abe-9f85-ba4830af48e9 · outbound

This paper cites an unresolved cited work.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Unresolved cited work

Reference 1

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unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 9243f28d-aea9-4558-8ab4-4df8d94eae12 · outbound

This paper cites Castro-Orgaz and W.H.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Castro-Orgaz and W.H

Reference 2

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation b86ef78e-aa1a-42e8-8573-ec35eb42dbe6 · outbound

This paper cites Paldor, Shallow Water Waves on the Rotating Earth, Springer Cham, New York (2015) 27.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Paldor, Shallow Water Waves on the Rotating Earth, Springer Cham, New York (2015) 27

Reference 3

Resolution
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 5030c441-61b3-4852-ac4e-5185b6b80725 · outbound

This paper cites Valery and P.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Valery and P

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation f9b9f1a9-5605-4a88-be19-141d0e4eb6c8 · outbound

This paper cites Garc ´ ıa-Navarro, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Garc ´ ıa-Navarro, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.957915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation da953cda-26b9-44b4-b39a-cd3b1cf8b09c · outbound

This paper cites Kurganov, Finite-volume schemes for shallow-water equations, Acta Numerica 27, 289 (2018).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Kurganov, Finite-volume schemes for shallow-water equations, Acta Numerica 27, 289 (2018)

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.024503Z digest=sha256:6431556da5b6ab5bc4474f6eff6c089b008d8342ffd14e9b37f425a3c67e9f8b

Observation b2ca6d36-7161-40b2-997f-a2eebf34f26d · outbound

This paper cites Kinnmark, The Shallow Water Wave Equations: Formulation, Analysis and Application, Lecture Notes in Engineering, Springer Berlin, Heidelberg (1986).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Kinnmark, The Shallow Water Wave Equations: Formulation, Analysis and Application, Lecture Notes in Engineering, Springer Berlin, Heidelberg (1986)

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 802d20cf-f477-4b27-92bf-55cb585ad2cc · outbound

This paper cites Taitel and D.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Taitel and D

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.048776Z digest=sha256:89001c0c1ce59abd6e6f1a058bda0fc8533b951b9a485475b300fdd13cc1aacf

Observation d0418d18-9089-4c37-b7d0-5b2673aeb1e2 · outbound

This paper cites Hewitt, Two-Phase Flow and Its Applications: Past, Present, and Future, Heat Transfer Engineering, 4, 67 (1983).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Hewitt, Two-Phase Flow and Its Applications: Past, Present, and Future, Heat Transfer Engineering, 4, 67 (1983)

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.056711Z digest=sha256:c2e75a3a1fc0f3b0c771cdc521ed5c2dd1fd4585a17b89db028f1dd3dd1ecc97

Observation 19098997-0c47-4523-824f-61327c516909 · outbound

This paper cites shallow water.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame shallow water

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.066353Z digest=sha256:88bc0f82dc42cd11d501916517bbda77c0de9fe749c5a736c15e4ea8188b8e65

Observation d8f51930-872e-4502-aab9-85093b046f53 · outbound

This paper cites Zahn, The solar tachocline, A&A 265, 106 (1992).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Zahn, The solar tachocline, A&A 265, 106 (1992)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.829200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.077072Z digest=sha256:f90c8b1c150c8250869b77dc5806c1ab3ced2307b8af4dc0d3471eecc94b2c29

Observation aa98dc54-8323-48b2-8df4-946310a38d0a · outbound

This paper cites Hyghes, R.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Hyghes, R

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 37918004-de8f-4135-ab4f-64ebdde3f911 · outbound

This paper cites Schecter, J.F Boyd and P.A.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Schecter, J.F Boyd and P.A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.789299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.091099Z digest=sha256:665c554f01866af53670d976012444997521c17f4f3c248bf40b775e9c8b6ca9

Observation fc34f49e-72a9-4c2d-bc21-81a6a52ebd8e · outbound

This paper cites shallow water.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame shallow water

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.761342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.098379Z digest=sha256:16020ae2ab041929277157af0bd122e435aa8f5f7d42d4770b42a2cc494dedd6

Observation 2c6e735b-fb33-49fb-9e2e-0a76d4ef9910 · outbound

This paper cites Hindle, P.J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Hindle, P.J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.735925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.105163Z digest=sha256:858dda465c622c7edbe81955a8d60a14b53207e60263123c1bc3e9e85077151b

Observation 28777b26-86b7-467c-add7-e82157428eb8 · outbound

This paper cites Alonso-Oran, Asymptotic Shallow Models Arising in Magnetohydrodynamics, Water Waves 3, 371 (2021) 28.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Alonso-Oran, Asymptotic Shallow Models Arising in Magnetohydrodynamics, Water Waves 3, 371 (2021) 28

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.111763Z digest=sha256:ad9c6d3c89f910e130a4b37f2ee449bebfc1d90546368ef806062d8fbcf20dc2

Observation 35fb8d2b-6d28-435b-9179-5c186e2e9423 · outbound

This paper cites Petrosyan, D.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Petrosyan, D

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.695655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.117373Z digest=sha256:9fc861e18fc223a17b576784dcfb1b5be9349587f436c78f24aa6249273db430

Observation 4e757b1e-3103-43ad-a634-4c95e84015f2 · outbound

This paper cites Ibragimov, CRC Handbook of Lie Group Analysis of Differential Equations, Volume I: Symmetries, Exact Solutions, and Conservation Laws, CRS Press LLC, Florida (2000).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Ibragimov, CRC Handbook of Lie Group Analysis of Differential Equations, Volume I: Symmetries, Exact Solutions, and Conservation Laws, CRS Press LLC, Florida (2000)

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.667686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.122925Z digest=sha256:cc88ea453bc3e3eca2ff562a51c3c074a7f352d63e4325087f6eafd540379d3d

Observation 8cf0fe16-1763-477c-99fa-00c62104f61c · outbound

This paper cites Bluman and S.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Bluman and S

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.638737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.129116Z digest=sha256:f3dd4228327bbf5f05bd4c8f693aa59cc7f128c4e300271b47f69ee418198695

Observation 0aecf801-6a98-4c45-838b-326449ac4753 · outbound

This paper cites Stephani, Differential Equations: Their Solutions Using Symmetry, Cambridge Univer- sity Press, New York, (1989).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Stephani, Differential Equations: Their Solutions Using Symmetry, Cambridge Univer- sity Press, New York, (1989)

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.611784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.134873Z digest=sha256:70320e0993bf85cfd2dbdcc387a7258959c432bef47357399c3f04df161634ba

Observation aa6ee84c-ed9a-4127-843b-3f3c4c37630e · outbound

This paper cites Olver, Applications of Lie Groups to Differential Equations, Springer-Verlag, New York, (1993).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Olver, Applications of Lie Groups to Differential Equations, Springer-Verlag, New York, (1993)

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.590701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.142121Z digest=sha256:2e73eceacc0c89430378102d08dcb2efcaf669ee319ad05c3e636895e0f6d5cb

Observation 9a6c05ba-ddc7-41fb-b1d9-bf6be1458fe7 · outbound

This paper cites Gwaxa, S.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Gwaxa, S

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.553344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.147809Z digest=sha256:3a87afd979739f62ed2e8897dbff0f555627f54ba2cb61e9c8e01c541cba1060

Observation 506049cd-bdd3-4a02-b8cd-f8b3ecf12678 · outbound

This paper cites Moyo and P.G.L.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Moyo and P.G.L

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.525476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.154419Z digest=sha256:628a2ee850ebaf413d48e89a0f7dd5416ea373cf9f5f86b84bd88e7630cafa22

Observation 02503edb-c764-4087-b405-43b68ccb2efd · outbound

This paper cites Christodoulakis, A.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Christodoulakis, A

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.503186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.162196Z digest=sha256:9e768fbba04057a90e5561af17de5f954ad571a21edeb6da4e028105d198193b

Observation 367bce8e-5fe2-4fc5-9605-1ba213cf5c6d · outbound

This paper cites Christodoulakis, N.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Christodoulakis, N

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.482004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.169199Z digest=sha256:d4872f971a1d2368eec6a20e6de0ccb6c3503895887c302007384ee35eb5375a

Observation 0d50dbd3-b01b-41f0-9a29-e399aa20f6f8 · outbound

This paper cites Paliathanasis, Geometric Linearization for Constraint Hamiltonian Systems, Symmetry 16, 988 (2024).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Paliathanasis, Geometric Linearization for Constraint Hamiltonian Systems, Symmetry 16, 988 (2024)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.459843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.175440Z digest=sha256:409d8f7e26f52e0d8fc2aea91419a9626b7fcd5bea1b72be51f6f2a86bc05b33

Observation eb81e7f6-ab5b-4f72-ae7d-188b9e286753 · outbound

This paper cites Aliy, J.S.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Aliy, J.S

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.433738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.181948Z digest=sha256:17c1245c10ea0608061cabe94cc9eb63a5a3611e228025bb8a717bb6d984c535

Observation 135980d7-6c44-45f4-a68b-f1e729a85833 · outbound

This paper cites Chesnokov, Symmetries and exact solutions of the shallow water equations for a two-dimensional shear flow, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Chesnokov, Symmetries and exact solutions of the shallow water equations for a two-dimensional shear flow, J

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.410771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.187293Z digest=sha256:b882ec7eede54684aac6f172df4b9a94b2cde113ad8b47fbc176fc44df514dcf

Observation 07ebb8a9-0ca7-4056-85ce-fdcda9d050d0 · outbound

This paper cites Bira, T.R.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Bira, T.R

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.391281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.193995Z digest=sha256:d6dc507f0f75bcd8ca83b1716386594af33668fc66c20ffc30f92ec10931833b

Observation 4fbe09c5-4adf-4303-b52b-d438bbc1f7a1 · outbound

This paper cites Chesnokov, Symmetries and exact solutions of the rotating shallow-water equations, Eur.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Chesnokov, Symmetries and exact solutions of the rotating shallow-water equations, Eur

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.370408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.201773Z digest=sha256:9132f0e620330a846fa13dd0b45900634172a75102567adf2ec94e0c0df7a29b

Observation 09463c29-3437-467d-88d8-9c61feebabee · outbound

This paper cites Aksenov and K.P.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Aksenov and K.P

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.348109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.208488Z digest=sha256:243ddd416a57f519cf7c29bf73ea0fc620a6a17c54dc2de45eb794ef621d3925

Observation cc81f488-5f33-4e45-b535-96f66deb06be · outbound

This paper cites Paliathanasis, One-dimensional optimal system for 2D Rotating Ideal Gas, Symmetry 11, 1115 (2019).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Paliathanasis, One-dimensional optimal system for 2D Rotating Ideal Gas, Symmetry 11, 1115 (2019)

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.321822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.216199Z digest=sha256:7eab359143e7e0a075c939345beef1b8f3189436f40c5f34065cd5632d50c845

Observation e419d8b0-9689-4af4-8368-d34a208a33ad · outbound

This paper cites Paliathanasis, Similarity transformations for modified shallow water equations with density dependence on the average temperature, Int.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Paliathanasis, Similarity transformations for modified shallow water equations with density dependence on the average temperature, Int

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.299866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.222469Z digest=sha256:beb2f5a1a53a2d467694e572a5416526f0fc57d40cd212aec4c30209224ff691

Observation 09f61242-61c9-4087-b41f-70b14c40c036 · outbound

This paper cites Pavlenko, Symmetries and solutions to equations of two-dimensional motions of poly- tropic gas, Sib.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Pavlenko, Symmetries and solutions to equations of two-dimensional motions of poly- tropic gas, Sib

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.272461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.228914Z digest=sha256:0cacaa2ec40c3e948ca04a3980b76e833c1a07dbd120ba96a082ae910957587a

Observation 4cbdbfca-3ae3-4563-98fe-a1dca3746a47 · outbound

This paper cites Huo and L.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Huo and L

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.250177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.234702Z digest=sha256:50b2049539644f23c0bffd4450e4db72d9f1670ac02bdb849e39710d3ed8ede2

Observation 4376fae4-cb90-4917-aab4-7ab36410175f · outbound

This paper cites Dorodnitsyn, E.I.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Dorodnitsyn, E.I

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.230088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.241279Z digest=sha256:7407c75ead80a3b6253a272f73fb93e9ad18427bef2b55191eaefd987d6f6463

Observation 75567862-4b2b-4f34-9b27-38be1cb26949 · outbound

This paper cites Webb and G.P.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Webb and G.P

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.208793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.249574Z digest=sha256:10a2eaffec99c97046d17644032d56fe3fa4050d8b653c7b7c4e874cf7ea2f23

Observation 2a9df1ae-905c-48a9-82ad-5b7f64be9aad · outbound

This paper cites Bogoyavlenskij, Restricted Lie point symmetries and reductions for ideal magnetohy- drodynamics equilibria, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Bogoyavlenskij, Restricted Lie point symmetries and reductions for ideal magnetohy- drodynamics equilibria, J

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.186092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.259055Z digest=sha256:8c8f36f62c71bb112f8213320d43d713aaf8c151d46333b17f8bf20efec430f5

Observation b6b9ec18-8dee-443c-9db3-5214a955d519 · outbound

This paper cites Liu and H.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Liu and H

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.161335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.272489Z digest=sha256:9f002d59d466c16193220dee338abf5d8ca944e536f3128206469da3101c97a7

Observation 032620c8-9e9f-4a2b-bdd8-8eecede4f9a9 · outbound

This paper cites Paliathanasis, Group properties and solutions for the 1D Hall MHD system in the cold plasma approximation, Eur.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Paliathanasis, Group properties and solutions for the 1D Hall MHD system in the cold plasma approximation, Eur

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.137445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.279127Z digest=sha256:8098bc1e6d9aa2e28b15c651ddf3528758ddbc0da9448050e8393805771b237f

Observation 1d94ca3b-8a04-47cd-bbca-ddc9a3c8e20a · outbound

This paper cites Webb and R.L.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Webb and R.L

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.114554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.285926Z digest=sha256:048a2e1392648dfd8ec086fef5a5f490b545117965453ceb4a7fcee71b410eb4

Observation a27863c5-0b86-4e16-b3ed-b66f6eabf0f2 · outbound

This paper cites Meleshko, E.I.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Meleshko, E.I

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.093165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.292266Z digest=sha256:66d5f6374a9d06e359565b65986b401aec76fa781694ad0118f9bd1962619f99

Observation ef6787a9-238f-4db3-af80-e5307a9e2c38 · outbound

This paper cites Kaptsov, S.V.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Kaptsov, S.V

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.066517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.298600Z digest=sha256:06c78d729133e8d864cae96bc0f286c9f7f39a04e028cd0f78687911527245b0

Observation 29e885f4-d3b4-492c-bf64-22beefa7ae9f · outbound

This paper cites Bouchut and X.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Bouchut and X

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.042101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.304954Z digest=sha256:5939e3f4574d9fe21ab693c797c487c2949a877dc51e03510a0c63eb946705da

Observation 30987c1d-669c-405e-a8be-e0a46ec61c6c · outbound

This paper cites Bouchut and X.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Bouchut and X

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:03.019501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.312301Z digest=sha256:c9c14532624ea89b84a3d54c489c07680eaf3f004ab4cb7fd87d86d618146d96

Observation 2b3fe89f-d611-4d2a-ba8b-a6e82091d903 · outbound

This paper cites an unresolved cited work.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:15:02.999398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.319403Z digest=sha256:10b213bf40e8cddca47aeaeccc01228758220ce12e3e793b984946b4f8966c38

Observation 6ca9a631-4504-4ea3-a37f-d6c5d1abac24 · outbound

This paper cites Mak, S.D Griffiths and D.W.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Mak, S.D Griffiths and D.W

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.976879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.326185Z digest=sha256:ee69e9bde997dbba100fb3e8d7c97b63e29868b61d4f7b6994b9674fa0488ddf

Observation 55e9a25d-93af-403e-83dd-58f6e9da3267 · outbound

This paper cites Dellar, Lattice Kinetic Schemes for Magnetohydrodynamics, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Dellar, Lattice Kinetic Schemes for Magnetohydrodynamics, J

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.953782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.332898Z digest=sha256:508c87c448451e55a9a6aeeb42a5e061f45b85dcd052c47135d025f53003b231

Observation 730682ac-6e81-4149-a6a7-b76fd0389cb5 · outbound

This paper cites shallow water.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame shallow water

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.932745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.343125Z digest=sha256:4cf2ce8a3f97632fbb3d4f97a6d11667ea2195b92da306be7aba57a2f271df8d

Observation e0f90e9f-9c7b-43e0-b11f-823a2c7ccc7a · outbound

This paper cites Dellar, Dispersive shallow water magnetohydrodynamics, Physics of Plasmas 10, 581 (2003).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Dellar, Dispersive shallow water magnetohydrodynamics, Physics of Plasmas 10, 581 (2003)

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.912894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.350903Z digest=sha256:c3d32a52f3fe6ed1be4bc6ccd5710e623b708997f405a984f6659721af0d493f

Observation cae1f415-75ee-432d-8844-9f3c9a974028 · outbound

This paper cites Powell, An approximate Riemann solver for magnetohydrodynamics (that works in more than one dimension), NASA CR-194902 and ICASE Report No.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Powell, An approximate Riemann solver for magnetohydrodynamics (that works in more than one dimension), NASA CR-194902 and ICASE Report No

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.891750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.361912Z digest=sha256:83f2c8173cdae4ba70e429c286fa18c09cd75f0a988fc6dbdd86d77e00542f93

Observation 110cf3b3-1818-463e-9936-50c34621e92a · outbound

This paper cites Janhunen, A Positive Conservative Method for Magnetohydrodynamics Based on HLL and Roe Methods, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Janhunen, A Positive Conservative Method for Magnetohydrodynamics Based on HLL and Roe Methods, J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.867837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.369772Z digest=sha256:3c51a7ee55349bd80523e48176f50645811e86bf08bd94d64315b68dfe07752b

Observation b9c40275-d7f0-4d71-b9dd-afa97a2b9d90 · outbound

This paper cites Sokolov, K.G.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Sokolov, K.G

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.842555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.378510Z digest=sha256:3ddca76bfd509e2ebbe866902b2baa15bcaf5d2b2438278708803037879094f7

Observation 2b28b84c-34dd-4e44-a2fb-05603e95a1d1 · outbound

This paper cites an unresolved cited work.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:15:02.819984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.385849Z digest=sha256:37a107d2e64d34cc41c150f1f95d4d11f4e8804aa3ddf0628aed2a8b2eead840

Observation c779924c-d36d-4699-837c-d37ca6454b0c · outbound

This paper cites Dellar, Hamiltonian and symmetric hyperbolic structures of shallow water magneto- hydrodynamics, Physics of Plasmas 9, 1130 (2002).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Dellar, Hamiltonian and symmetric hyperbolic structures of shallow water magneto- hydrodynamics, Physics of Plasmas 9, 1130 (2002)

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.789396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.393180Z digest=sha256:b4cb75277b107bd0ae935914ad227354c324cc124a03fea0469bb29b1f917776

Observation 36561317-d61d-45ac-9e8d-892fefa3d469 · outbound

This paper cites Bouchut and X.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Bouchut and X

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.765646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.400616Z digest=sha256:e37d98d561c54aa30c13d14965a5297ad1f8a7ea0c6dcfd8b26e11fafd0b5dff

Observation dbd0b962-f04b-4fac-a52c-60ade971e19d · outbound

This paper cites Morozov, Classification of six-dimensional nilpotent Lie algebras, Izvestia Vysshikh Uchebn Zavendenii Matematika 5, 161 (1958).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Morozov, Classification of six-dimensional nilpotent Lie algebras, Izvestia Vysshikh Uchebn Zavendenii Matematika 5, 161 (1958)

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.740110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.407540Z digest=sha256:f42d33f4d89cb5f0b28dd77a37a5fed69dde2eb71951578b141811ca298f6493

Observation e1893013-0193-44b2-a14c-8011aa52e2e7 · outbound

This paper cites Mubarakzyanov, On solvable Lie algebras, Izvestia Vysshikh Uchebn Zavendenii Matematika 32, 114 (1963).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Mubarakzyanov, On solvable Lie algebras, Izvestia Vysshikh Uchebn Zavendenii Matematika 32, 114 (1963)

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.714548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.413055Z digest=sha256:365858b616f9dbee0160619a8e00a265d2587e2fc05243474b8da538bb2235c3

Observation 458d693b-3f38-41c1-8088-17af0b5e563a · outbound

This paper cites Mubarakzyanov, Classification of real structures of five-dimensional Lie algebras, Izvestia Vysshikh Uchebn Zavendenii Matematika 34, 99 (1963).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Mubarakzyanov, Classification of real structures of five-dimensional Lie algebras, Izvestia Vysshikh Uchebn Zavendenii Matematika 34, 99 (1963)

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.692354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.418797Z digest=sha256:b742cf144f6f1f91cc7b5f0b5f51b76cb5675f71134a4208c7e6286db4813236

Observation b805469d-ab2c-41c1-8888-ec7d48266b92 · outbound

This paper cites Mubarakzyanov, Classification of solvable six-dimensional Lie algebras with one nilpotent base element, Izvestia Vysshikh Uchebn Zavendenii Matematika 35, 104 (1963).

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Mubarakzyanov, Classification of solvable six-dimensional Lie algebras with one nilpotent base element, Izvestia Vysshikh Uchebn Zavendenii Matematika 35, 104 (1963)

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.670412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.425849Z digest=sha256:4a9fdffdb183aa83adadd0caaf8dfa6d703a26d1a6ca1799c0aa5721137ed723

Observation 22e16dd2-8978-476f-8402-6f2ba726a96d · outbound

This paper cites Patera, R.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Patera, R

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.648235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.433551Z digest=sha256:a2eca4b8c44f2e1cedd855e7c6d716c2cd0a81c84aa348c6456d30c7d037eb7c

Observation 967dd328-ad11-4c5e-8890-101a94150e06 · outbound

This paper cites Noether, Invariante Variationsprobleme, Nach.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Noether, Invariante Variationsprobleme, Nach

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.622867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.440479Z digest=sha256:944618dcc27a98c6735dfcd4e19938f1c62d7784647a3c939b0e775423094765

Observation 028f1616-3288-46c8-b7fe-dbc301814b6c · outbound

This paper cites Ibragimov, A new conservation theorem, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Ibragimov, A new conservation theorem, J

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.600591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.446889Z digest=sha256:cd6d2dab4deba8214804de1cada3e918a5140d0cd6ee9240604c2d57fcf5d4f2

Observation 2e8caf6e-50a7-4d41-a41a-f1dd57a9cfc0 · outbound

This paper cites Gandarias, Weak self-adjoint differential equations, J.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Gandarias, Weak self-adjoint differential equations, J

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.578899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.454017Z digest=sha256:5a4a64a4544b39b87aaeb4400ea35a8a4249301a15657f9b57d5b716f947d5aa

Observation 11d272ec-6e78-414d-a629-3584e4a5cfc8 · outbound

This paper cites Yi, Symmetries and Two Types of Non-Noether Conservation Laws of Birkhoffian Sys- tem with Unilateral Constraints, Commun.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Yi, Symmetries and Two Types of Non-Noether Conservation Laws of Birkhoffian Sys- tem with Unilateral Constraints, Commun

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.552647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.465075Z digest=sha256:bb72a010dd34fecac219e5a87f3f6a06cfe49037c0ebb2e3034cc3329bc4548b

Observation bbd7569a-be38-4b2d-9d60-4651652f4e3a · outbound

This paper cites Anco, On the incompleteness of Ibragimov’s conservation law theorem and its equiv- alence to a standard formula using symmetries and adjoint-symmetries,Symmetry 9, 33 (201) 32.

Lie Symmetries for the Shallow Water Magnetohydrodynamics Equations in a Rotating Reference Frame Anco, On the incompleteness of Ibragimov’s conservation law theorem and its equiv- alence to a standard formula using symmetries and adjoint-symmetries,Symmetry 9, 33 (201) 32

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:15:02.528318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T12:15:02.471666Z digest=sha256:10b63d8d0352604e97fd105e6bea97159878b4c26150f0c6ecb2faed0017268c

Pith citing papers

No inbound Pith citation observations are available.