Paper Citation Record · LEDGER

Dubrovin-Natanzon divisors on MM-curves

As of 10 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2508.08426.

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pith.paper-citation-record.v1
2508.08426 v1

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measured 47 of 47 standing notices

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Reference resolution

47 of 47 outbound references displayed

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verified fuzzy44
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Outbound references

Observation d0b54315-ca62-4d42-83c1-91a64fd3f4fd · outbound

This paper cites Rational degenerations of M -curves, totally positive Grassmannians and KP–solitons.

Dubrovin-Natanzon divisors on MM-curves Rational degenerations of M -curves, totally positive Grassmannians and KP–solitons

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:57.933458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bce90e38-f354-49bf-82c2-3f91237fbffa · outbound

This paper cites Real soliton lattices of the Kadomtsev-Petviashvili II equation and desingularization of spec- tral curves corresponding to GrTP(2, 4).

Dubrovin-Natanzon divisors on MM-curves Real soliton lattices of the Kadomtsev-Petviashvili II equation and desingularization of spec- tral curves corresponding to GrTP(2, 4)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:57.732809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6cf7dc62-2bb6-4937-af22-689ce465c852 · outbound

This paper cites Reducible M -curves for Le-networks in the totally-nonnegative Grassmannian and KP–II multiline solitons.

Dubrovin-Natanzon divisors on MM-curves Reducible M -curves for Le-networks in the totally-nonnegative Grassmannian and KP–II multiline solitons

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:57.556910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3f723b04-b5f7-4e75-9054-2ecabfae46e2 · outbound

This paper cites Real regular KP divisors on M-curves and totally non-negative Grassmannians.

Dubrovin-Natanzon divisors on MM-curves Real regular KP divisors on M-curves and totally non-negative Grassmannians

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:57.383303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 51dd846c-808d-49d7-b3d5-7fb16743f4fd · outbound

This paper cites Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmanni- ans.

Dubrovin-Natanzon divisors on MM-curves Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmanni- ans

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:57.138426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2d8326a9-cf9c-4b92-9e5d-735025c0d3e2 · outbound

This paper cites Geometric Nature of Relations on Plabic Graphs and Totally Non-negative Grassmannians.

Dubrovin-Natanzon divisors on MM-curves Geometric Nature of Relations on Plabic Graphs and Totally Non-negative Grassmannians

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:56.952905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e9207882-52e6-4e39-baa7-2dada976f6a9 · outbound

This paper cites Nonlinear shallow ocean-wave soliton interactions on flat beaches.

Dubrovin-Natanzon divisors on MM-curves Nonlinear shallow ocean-wave soliton interactions on flat beaches

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:56.762633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7bbf4b9b-b01e-4ecc-bf94-147d0aa1a4a8 · outbound

This paper cites Theta sur- faces.

Dubrovin-Natanzon divisors on MM-curves Theta sur- faces

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:56.572725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d8ee5944-72e5-4222-ba50-bc08cd2e4cee · outbound

This paper cites KP solitons from tropical limits.

Dubrovin-Natanzon divisors on MM-curves KP solitons from tropical limits

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:56.415090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e9aaa489-b49b-4f28-8659-de214cb0fc97 · outbound

This paper cites Canonical maps of pointed nodal curves,.

Dubrovin-Natanzon divisors on MM-curves Canonical maps of pointed nodal curves,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:56.205888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4e48abf1-3a7e-493d-8285-4eebac987e7e · outbound

This paper cites Topologically trivial bundles on curves with the simplest singularities.

Dubrovin-Natanzon divisors on MM-curves Topologically trivial bundles on curves with the simplest singularities

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:56.039315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 81c3ed7c-18d1-4d43-80fb-ca57c83ccb91 · outbound

This paper cites Discrete Torelli theorem.

Dubrovin-Natanzon divisors on MM-curves Discrete Torelli theorem

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:55.702502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c05cd24e-45d7-4b82-a008-c19e61ef0b07 · outbound

This paper cites Soliton solutions of the Kadomt- sev–Petviashvili II equation.

Dubrovin-Natanzon divisors on MM-curves Soliton solutions of the Kadomt- sev–Petviashvili II equation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:55.506525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 02493ad8-b603-4dd9-8a55-886c4268408b · outbound

This paper cites Analytic solution of the two-dimensional Korteweg-de Vries (KdV) equation.

Dubrovin-Natanzon divisors on MM-curves Analytic solution of the two-dimensional Korteweg-de Vries (KdV) equation

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:55.238357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5cf18c2d-7696-49d7-baf8-313b9d7e561e · outbound

This paper cites Multidimensional theta functions and their ap- plication to the integration of nonlinear equations.

Dubrovin-Natanzon divisors on MM-curves Multidimensional theta functions and their ap- plication to the integration of nonlinear equations

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:55.009296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 43795b2e-de00-462c-9f6a-77122cb94de8 · outbound

This paper cites Real theta-function solutions of the Kadomtsev-Petviashvili equation.

Dubrovin-Natanzon divisors on MM-curves Real theta-function solutions of the Kadomtsev-Petviashvili equation

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:54.813807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation da2fcebb-59ff-4b00-8934-e434fc563546 · outbound

This paper cites The totally nonnegative Grass- mannian is a ball.

Dubrovin-Natanzon divisors on MM-curves The totally nonnegative Grass- mannian is a ball

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:54.492289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a927c1ad-a36e-4f6b-8585-42610e749c69 · outbound

This paper cites Combinatorial geometries and torus strata on homogeneous compact manifolds.

Dubrovin-Natanzon divisors on MM-curves Combinatorial geometries and torus strata on homogeneous compact manifolds

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:54.171705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 83106272-ed21-4d9e-bc82-45ca3f36b618 · outbound

This paper cites On algebraic-geometry methods for constructing submanifolds with flat normal bundle and holonomic net of curvature lines.

Dubrovin-Natanzon divisors on MM-curves On algebraic-geometry methods for constructing submanifolds with flat normal bundle and holonomic net of curvature lines

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:53.732938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4e35af45-7f67-4a93-9a82-8c9519217f48 · outbound

This paper cites Infinitesimal Darboux transfor- mations of the spectral curves of tori in the four-space,.

Dubrovin-Natanzon divisors on MM-curves Infinitesimal Darboux transfor- mations of the spectral curves of tori in the four-space,

Reference 20

Resolution: verified exact; doi, observed 2026-08-05T21:38:46.668069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2a09d1fb-6f05-4931-b30a-6d234426b5d6 · outbound

This paper cites Spectral conservation laws for periodic nonlinear equations of the Melnikov type,.

Dubrovin-Natanzon divisors on MM-curves Spectral conservation laws for periodic nonlinear equations of the Melnikov type,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:53.384136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0eadea5b-4314-47e7-a0c8-80fadbb15be1 · outbound

This paper cites Periods of Tropical Curves and Associated KP Solutions,.

Dubrovin-Natanzon divisors on MM-curves Periods of Tropical Curves and Associated KP Solutions,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:53.130849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fe49e4e4-8a75-4249-9a85-e8ce114d0c85 · outbound

This paper cites On the stability of solitary waves in weakly dispersive media.

Dubrovin-Natanzon divisors on MM-curves On the stability of solitary waves in weakly dispersive media

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:52.932839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 18d5ca8f-b7bd-4725-8a02-1071b23fa42a · outbound

This paper cites The Deodhar decomposition of the Grassmannian and the regularity of KP solitons,.

Dubrovin-Natanzon divisors on MM-curves The Deodhar decomposition of the Grassmannian and the regularity of KP solitons,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:52.733653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8b13c868-1e93-4730-858c-5245e9ae61a7 · outbound

This paper cites KP solitons and total positivity for the Grassmannian,.

Dubrovin-Natanzon divisors on MM-curves KP solitons and total positivity for the Grassmannian,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:52.509077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 00ff71e7-e979-4c6b-9ce9-5056e637779b · outbound

This paper cites Potentials with zero coefficient of reflection on a background of finite-zone potentials.

Dubrovin-Natanzon divisors on MM-curves Potentials with zero coefficient of reflection on a background of finite-zone potentials

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:52.343133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 829be975-ac54-4778-9d78-f7da11f0fb83 · outbound

This paper cites An algebraic-geometric construction of the Zakharov-Shabat equations and their periodic solutions.

Dubrovin-Natanzon divisors on MM-curves An algebraic-geometric construction of the Zakharov-Shabat equations and their periodic solutions

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:52.132405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 52c3e576-f0c0-44f2-917d-b76bd0e176be · outbound

This paper cites Algebraic-geometric n-orthogonal curvilinear co- ordinate systems and solutions of the associativity equations.

Dubrovin-Natanzon divisors on MM-curves Algebraic-geometric n-orthogonal curvilinear co- ordinate systems and solutions of the associativity equations

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:51.934008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6c830182-2534-460c-b70f-1f57ba03f21f · outbound

This paper cites The projectivity of the moduli space of stable curves. I: Preliminaries on “det.

Dubrovin-Natanzon divisors on MM-curves The projectivity of the moduli space of stable curves. I: Preliminaries on “det

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:51.754360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b345ce65-7c78-4f38-9052-6ebd5f81b24d · outbound

This paper cites The projectivity of the moduli space of stable curves. II. The stacks Mg,n.

Dubrovin-Natanzon divisors on MM-curves The projectivity of the moduli space of stable curves. II. The stacks Mg,n

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:51.590266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8ffe0007-dfae-4032-8ac0-50421bc1485a · outbound

This paper cites The projectivity of the moduli space of stable curves. III. The line bundles on Mg,n, and a proof of the pro- 33 jectivity of ˜Mg,n in characteristic 0.

Dubrovin-Natanzon divisors on MM-curves The projectivity of the moduli space of stable curves. III. The line bundles on Mg,n, and a proof of the pro- 33 jectivity of ˜Mg,n in characteristic 0

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:51.453917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4cbbf8d1-48b9-4808-be95-9ea7cb3d8467 · outbound

This paper cites Maximal Mumford curves from planar graphs.

Dubrovin-Natanzon divisors on MM-curves Maximal Mumford curves from planar graphs

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:51.252432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f4b8a560-8e01-44d3-a826-320343dba701 · outbound

This paper cites A class of exact solutions of the Kadomt- sev–Petviashvili equation.

Dubrovin-Natanzon divisors on MM-curves A class of exact solutions of the Kadomt- sev–Petviashvili equation

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:50.995785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b95eebbe-d9b3-4de0-890b-8833bc936742 · outbound

This paper cites Darboux transformation and explicit solutions of the Kadomtcev-Petviaschvily equation, depending on functional parameters.

Dubrovin-Natanzon divisors on MM-curves Darboux transformation and explicit solutions of the Kadomtcev-Petviaschvily equation, depending on functional parameters

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:50.795157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c663f349-124c-45dc-aacd-4ad4a8eb4f2b · outbound

This paper cites Tropical curves, their Jacobians and theta functions.

Dubrovin-Natanzon divisors on MM-curves Tropical curves, their Jacobians and theta functions

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:50.463110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 75850b59-670d-431f-88ae-5c37ebf24c52 · outbound

This paper cites Tropical Geometry.

Dubrovin-Natanzon divisors on MM-curves Tropical Geometry

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:50.077544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a4309433-3da2-4f51-9772-4423cf2c959c · outbound

This paper cites Orthogonal curvilinear coordi- nate systems corresponding to singular spectral curves,.

Dubrovin-Natanzon divisors on MM-curves Orthogonal curvilinear coordi- nate systems corresponding to singular spectral curves,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:49.649854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 84ebacfb-a97b-47de-ad10-48087f1dd5b7 · outbound

This paper cites On some algebraic examples of Frobenius manifolds,.

Dubrovin-Natanzon divisors on MM-curves On some algebraic examples of Frobenius manifolds,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:49.360420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c682a152-e940-4c74-89cf-fa5a07bcbb2d · outbound

This paper cites Orthogonal Curvi- linear Coordinate Systems and Torsion-Free Sheaves over Re- ducible Spectral Curves.

Dubrovin-Natanzon divisors on MM-curves Orthogonal Curvi- linear Coordinate Systems and Torsion-Free Sheaves over Re- ducible Spectral Curves

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:49.124272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 710cf39a-1bfe-4214-b22a-649ec53bbd3b · outbound

This paper cites an unresolved cited work.

Dubrovin-Natanzon divisors on MM-curves Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-05T21:38:48.772991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 37f47119-d2df-4d51-85c7-064723c83674 · outbound

This paper cites Total positivity, Grassmannians, and networks.

Dubrovin-Natanzon divisors on MM-curves Total positivity, Grassmannians, and networks

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-05T21:38:45.558668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b43f998c-446b-4232-9eb4-d470e241ed12 · outbound

This paper cites Matching polytopes, toric geometry, and the totally non-negative Grassmannian.

Dubrovin-Natanzon divisors on MM-curves Matching polytopes, toric geometry, and the totally non-negative Grassmannian

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:48.394744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 077da1da-6205-4ca1-aec5-043063d8a992 · outbound

This paper cites Singular spectral curves in finite-gap integra- tion,.

Dubrovin-Natanzon divisors on MM-curves Singular spectral curves in finite-gap integra- tion,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:48.110997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1c5310b4-35bd-4953-af94-cf8b773e46d5 · outbound

This paper cites Quantization, Classical and Quantum Field The- ory and Theta Functions.

Dubrovin-Natanzon divisors on MM-curves Quantization, Classical and Quantum Field The- ory and Theta Functions

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:47.813162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7fd25ced-176c-418e-91d5-099fa79bd92e · outbound

This paper cites Real algebraic plane curves: Constructions with con- trolled topology.

Dubrovin-Natanzon divisors on MM-curves Real algebraic plane curves: Constructions with con- trolled topology

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:47.541888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 93ce467c-7c61-4062-a89a-5b61140e4e8c · outbound

This paper cites A scheme for integrating the non- linear equations of mathematical physics by the method of the inverse scattering problem. I.

Dubrovin-Natanzon divisors on MM-curves A scheme for integrating the non- linear equations of mathematical physics by the method of the inverse scattering problem. I

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:47.206912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cc455427-5bdc-4408-aee2-a797f6a42184 · outbound

This paper cites Description of the n-orthogonal curvilinear co- ordinate systems and Hamiltonian integrable systems of hydro- dynamic type. I. Integration of the Lam´ e equations,.

Dubrovin-Natanzon divisors on MM-curves Description of the n-orthogonal curvilinear co- ordinate systems and Hamiltonian integrable systems of hydro- dynamic type. I. Integration of the Lam´ e equations,

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:38:46.969749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

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