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Paper Citation Record · LEDGER

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation

As of 18 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.14236.

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

pith.paper-citation-record.v1
2506.14236 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:24:12.609637Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved21
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 49828cc3-f0b8-4566-92ae-e0cd892702fd · outbound

This paper cites merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 1

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no resolver link, observed 2026-08-07T00:24:04.107283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:04.107283Z digest=sha256:4021b1159ce4bd5cf4a367704bceac06eeae12d8ac828d2e6c4b6a3a270e5547

Observation 62e2596c-2979-4cf4-aa8f-88496635d082 · outbound

This paper cites merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 2

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no resolver link, observed 2026-08-07T00:24:11.796930Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-07T00:24:11.796930Z digest=sha256:9a1221e2990043e1868485de59d709cc4a9c0adde4107c06162dbab20621003b

Observation 5eeb3cfa-5df3-4c3e-9407-dc10bc4ccf96 · outbound

This paper cites merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 3

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no resolver link, observed 2026-08-07T00:24:12.028059Z

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Observation c143bde2-64c5-42ba-910e-7e6cd3c96d46 · outbound

This paper cites merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 4

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no resolver link, observed 2026-08-07T00:24:12.106573Z

Source-reported events for the cited work

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Observation 7c7d1073-66f6-4b57-95e9-564cd2bb4606 · outbound

This paper cites merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 5

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source=arxiv_source observed=2026-08-07T00:24:12.163410Z digest=sha256:55369594a3dd124c245edb05ada8ea020207fb8730d4ba4f8518b7458cc33ed2

Observation 05f3d8d5-2117-4858-bb94-67e2ccf2520e · outbound

This paper cites Zhang , author H.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Zhang , author H

Reference 6

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verified fuzzy
raw_fallback, observed 2026-08-07T00:24:13.008754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T00:24:12.231572Z digest=sha256:2462b7a79ac0c76b60e4e82ceec7461782199b5f7b54df9c7ae522fd731565bb

Observation 1aba4637-684c-4391-91e2-53f3f136684d · outbound

This paper cites Cheng , author P.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Cheng , author P

Reference 7

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raw_fallback, observed 2026-08-07T00:24:12.994521Z

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source=arxiv_source observed=2026-08-07T00:24:12.283266Z digest=sha256:8c2301a489388de6474266dc29da3eeca166616342fea6473c66a276681bfb37

Observation bb338719-8b26-4511-9298-f1685c22dbe1 · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Unresolved cited work

Reference 8

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source=arxiv_source observed=2026-08-07T00:24:12.350839Z digest=sha256:570cd06861087e444e02c79b1e901371baaed861c14539ef01987e7c79bf2f01

Observation c759f05d-c109-4137-ac65-4d2960635ac5 · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Unresolved cited work

Reference 9

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source=arxiv_source observed=2026-08-07T00:24:12.384903Z digest=sha256:e8880160c0ed27355688ae8f0dac5c64f868edb8c59111b79a354156c54f9901

Observation 652c759a-df7d-4519-a9d8-04f8eff7c64a · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Unresolved cited work

Reference 10

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T00:24:12.442818Z digest=sha256:e620e5826ce98f3a7d0fb300dcad0c75b87136816248b0dbec64a7d72b1bda66

Observation f9b3f81a-a922-44e9-8c8b-b730fa7bd5b3 · outbound

This paper cites Brandt \ and\ author K.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Brandt \ and\ author K

Reference 11

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verified fuzzy
raw_fallback, observed 2026-08-07T00:24:12.950991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T00:24:12.454363Z digest=sha256:568199a5ddefe74f7d2e26761b80e175ede5170b328e374832c628237d2f2a7c

Observation e4ee0d34-e1f2-4a6c-9ab9-d55890d4abf5 · outbound

This paper cites Deepwell \ and\ author M.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Deepwell \ and\ author M

Reference 12

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verified fuzzy
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T00:24:12.465126Z digest=sha256:016144f5bbd4d75229a8ca15cc7a81a5eee9ce627511d030fa4fd87ae30c1dc4

Observation 37caca6f-54b9-40d8-9309-8a298e27addc · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Unresolved cited work

Reference 13

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raw_fallback, observed 2026-08-07T00:24:12.923182Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T00:24:12.474370Z digest=sha256:b49f252b6f81798a66b6be2f7aa861514bcabffa99bf7050b997b7384c59f7b5

Observation 7213a116-8657-4650-b202-994c7d13877e · outbound

This paper cites Choi ,\ title title High-order strongly nonlinear long wave approximation and solitary wave solution.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Choi ,\ title title High-order strongly nonlinear long wave approximation and solitary wave solution

Reference 14

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verified fuzzy
raw_fallback, observed 2026-08-07T00:24:12.909032Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T00:24:12.483145Z digest=sha256:8763246288b8d6f0f7584c83fb99b032346b9140ab8230094d7fcf0a04c83dfb

Observation 6e9b58bd-681a-4924-884d-59a59476ab0c · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Unresolved cited work

Reference 15

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raw_fallback, observed 2026-08-07T00:24:12.898362Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T00:24:12.493848Z digest=sha256:71a56f37589d27d60ec12808bb58b1e8a25928cbc44c66f851aa5d9d508c9d4a

Observation 8afa8202-5f91-4892-8b3b-21c69346f475 · outbound

This paper cites Grue , author A.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Grue , author A

Reference 16

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verified fuzzy
raw_fallback, observed 2026-08-07T00:24:12.889338Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T00:24:12.502045Z digest=sha256:ba90620092ad1b35f258cd0aa5b7ce33ad2367611a96602e17383021ad675c4c

Observation 3d5238f9-c247-43f8-ad1b-b7b1f66d2ea1 · outbound

This paper cites Kodaira , author T.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Kodaira , author T

Reference 17

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verified fuzzy
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T00:24:12.508317Z digest=sha256:9341dbe87d17241a2fcbbc68da9d686b999201d1713d3bf08b8c3a54950f385f

Observation 716720f7-ddca-4661-a0a6-a0c67c21a7ae · outbound

This paper cites Xuan , author H.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Xuan , author H

Reference 18

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verified fuzzy
raw_fallback, observed 2026-08-07T00:24:12.870931Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T00:24:12.523010Z digest=sha256:70b656d45f96d29364d5a3f70ec50c4aad2c83e08a73c9e1d1de019513c513f4

Observation b7a6fae0-8c6c-4788-bc00-1a14c310d5f4 · outbound

This paper cites Cuomo , author V.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Cuomo , author V

Reference 19

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no resolver link, observed 2026-08-07T00:24:12.530599Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.530599Z digest=sha256:e2d276daf0265cf8cd49347f5b43b518fe5178cc88aa96b7c4c21d0466b2cc03

Observation 969b6c98-55c8-4e01-897d-d0119f0c2a2f · outbound

This paper cites Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

Reference 20

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source=arxiv_source observed=2026-08-07T00:24:12.546766Z digest=sha256:168a26afdf2a447de784aef440da06d25176b7ccc3b740980891c5da655d0e38

Observation 801ac34e-7ed2-4575-9106-882c6f12b3fc · outbound

This paper cites Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations

Reference 21

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no resolver link, observed 2026-08-07T00:24:12.555740Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.555740Z digest=sha256:ba06d2be9c64979a73970b741f368bff311671a5c68a8706ba9d05739a4cde9a

Observation ffb82692-b9cd-4527-a75e-b2672f20ff9e · outbound

This paper cites Raissi , author P.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Raissi , author P

Reference 22

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no resolver link, observed 2026-08-07T00:24:12.559587Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.559587Z digest=sha256:2b85069bc360bc4e0c66efc13a8b2e28378896d5acd75cbcd92a8e9527dac719

Observation d3710be2-0d3f-48d6-a698-e6ea66aa1793 · outbound

This paper cites Solving the wave equation with physics-informed deep learning.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Solving the wave equation with physics-informed deep learning

Reference 23

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no resolver link, observed 2026-08-07T00:24:12.566651Z

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source=arxiv_source observed=2026-08-07T00:24:12.566651Z digest=sha256:1e22cce9d6d8547832d87b642bb33948317b7233df0e9321e3ab1b62f777ef7c

Observation 8a533c64-9c41-4ff3-a87a-1683049902c2 · outbound

This paper cites Cai , author Z.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Cai , author Z

Reference 24

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unresolved
no resolver link, observed 2026-08-07T00:24:12.569656Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.569656Z digest=sha256:51407ac9aa386007a65e9ba019c1749acd4874f32ea96c2542d077c80930aa35

Observation ee8b4fc9-eca8-4afe-af37-76223431aeb9 · outbound

This paper cites PINNs-TF2: Fast and User-Friendly Physics-Informed Neural Networks in TensorFlow V2.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation PINNs-TF2: Fast and User-Friendly Physics-Informed Neural Networks in TensorFlow V2

Reference 25

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verified exact
local_arxiv, observed 2026-08-07T00:24:12.699777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T00:24:12.572401Z digest=sha256:a17f80ba9f405048cedf5da63db740bf6ad1029b7ee992b5e5d77c03b0c14015

Observation baf66fd1-ad08-42c2-8549-89be63fc8c4f · outbound

This paper cites Physics-informed Neural Networks for Solving Inverse Problems of Nonlinear Biot's Equations: Batch Training.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Physics-informed Neural Networks for Solving Inverse Problems of Nonlinear Biot's Equations: Batch Training

Reference 26

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metadata mismatch
local_arxiv, observed 2026-08-07T00:24:12.859103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T00:24:12.576198Z digest=sha256:dc1fa7c97bdf2a403760ccb4ef9c764d50dffe5a4c9a14429cc1095b4c764512

Observation 73964de0-7c8b-4ee6-a181-860594c6d06c · outbound

This paper cites Cai , author Z.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Cai , author Z

Reference 27

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no resolver link, observed 2026-08-07T00:24:12.580748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.580748Z digest=sha256:183cf0528831bca30560c8cb8f4ec7e65044c9788e248e13fc9489b05b09c8a6

Observation a621a936-f826-407f-81a0-ff48af3bc932 · outbound

This paper cites Jin , author M.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Jin , author M

Reference 28

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no resolver link, observed 2026-08-07T00:24:12.586057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.586057Z digest=sha256:c672bcd1ea5a8fe45228b3240a2e496b9b67927afb93df4deaa38e57ba200c34

Observation d972f9aa-7dc6-4462-9141-6032d84d06ba · outbound

This paper cites Zhang , author M.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Zhang , author M

Reference 29

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unresolved
no resolver link, observed 2026-08-07T00:24:12.592619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.592619Z digest=sha256:f4940857db9ebb8099b317113021aedca67ee45105254e6e17d26fce962a8e6b

Observation a087474e-b04a-474d-8522-a0108da52129 · outbound

This paper cites Escapil-Inchausp \'e \ and\ author G.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Escapil-Inchausp \'e \ and\ author G

Reference 30

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verified exact
doi, observed 2026-08-07T00:24:12.667324Z

Source-reported events for the cited work

correction dated 2024-05-27. Source: crossref record 10.1038/s41598-024-62284-9->10.1038/s41598-023-44541-5:correction, observed 2026-07-11T03:09:53.645894+00:00. This notice travels one citation hop only.

source=arxiv_source observed=2026-08-07T00:24:12.599215Z digest=sha256:b23f206756c645e23c911becf075766002c17b91722e027bc99fec5962154fce

Observation 6ef644b0-0957-40e3-9b7d-74536076e096 · outbound

This paper cites Lu , author P.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Lu , author P

Reference 31

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no resolver link, observed 2026-08-07T00:24:12.605282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.605282Z digest=sha256:063d325bd72e413ee1c8658f4e8a4fc19f660bf80675cd2f4e1fbddf8e25409c

Observation 606beed0-1c01-40c1-a604-f7023d220d78 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Fourier Neural Operator for Parametric Partial Differential Equations

Reference 32

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no resolver link, observed 2026-08-07T00:24:12.609637Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.609637Z digest=sha256:6452f030754e2d6592c480db3b709ee4c28f8b3d1668eb7908240a29db62dca3

Pith citing papers

No inbound Pith citation observations are available.