Arithmetic selection rules in dispersionless Hamiltonian systems | Paper Citation Record

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Reference 1

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Arithmetic selection rules in dispersionless Hamiltonian systems Unresolved cited work

Reference 2

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Observation c3dcc91d-8331-4c84-9c8f-4c5834beebc3 · outbound

This paper cites Introduction to classical and quantum integrability.

Arithmetic selection rules in dispersionless Hamiltonian systems Introduction to classical and quantum integrability

Reference 3

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This paper cites Modave Lectures on Classical Integrability in $2d$ Field Theories.

Arithmetic selection rules in dispersionless Hamiltonian systems Modave Lectures on Classical Integrability in $2d$ Field Theories

Reference 4

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Observation 4f75721b-922e-4f2c-a4b0-901513dda63f · outbound

This paper cites Hamiltonian structures for systems of hyperbolic conservation laws,.

Arithmetic selection rules in dispersionless Hamiltonian systems Hamiltonian structures for systems of hyperbolic conservation laws,

Reference 5

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Observation 58483b2d-c119-4aec-b6ea-fa951f222881 · outbound

This paper cites Hamiltonian formalism of one-dimensional systems of hydrodynamic type, and the Bogolyubov-Whitman averaging method,.

Arithmetic selection rules in dispersionless Hamiltonian systems Hamiltonian formalism of one-dimensional systems of hydrodynamic type, and the Bogolyubov-Whitman averaging method,

Reference 6

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Observation 28bbfac8-1828-4dd6-bf67-764125fc45e8 · outbound

This paper cites Integrability properties of Motzkin polynomials.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrability properties of Motzkin polynomials

Reference 7

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Observation 119f4f83-b483-46df-84fd-c3f5c18d2d33 · outbound

This paper cites Liouville integrable binomial Hamiltonian system.

Arithmetic selection rules in dispersionless Hamiltonian systems Liouville integrable binomial Hamiltonian system

Reference 8

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This paper cites An exact solution for a derivative nonlinear Schr¨ odinger equation,.

Arithmetic selection rules in dispersionless Hamiltonian systems An exact solution for a derivative nonlinear Schr¨ odinger equation,

Reference 9

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Observation c893deef-195c-4614-a4d4-96c3f453afd9 · outbound

This paper cites Encyclopedia of integrable systems,.

Arithmetic selection rules in dispersionless Hamiltonian systems Encyclopedia of integrable systems,

Reference 10

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Observation 10c6eb8f-42f8-4b68-b125-1f1d721b61cb · outbound

This paper cites Nonlinear differential difference equations as Backlund transformations,.

Arithmetic selection rules in dispersionless Hamiltonian systems Nonlinear differential difference equations as Backlund transformations,

Reference 11

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Observation 07761b32-3d25-4903-bd68-0a77caee59af · outbound

This paper cites The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems,.

Arithmetic selection rules in dispersionless Hamiltonian systems The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems,

Reference 12

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Observation ec2f4f75-534a-4591-89d9-fe5cb65d21f0 · outbound

This paper cites Gauge transformations of constrained KP flows: New integrable hierarchies,.

Arithmetic selection rules in dispersionless Hamiltonian systems Gauge transformations of constrained KP flows: New integrable hierarchies,

Reference 13

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Observation a3d839cd-b0d1-46e3-935d-dea327bdd2b7 · outbound

This paper cites A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations,.

Arithmetic selection rules in dispersionless Hamiltonian systems A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations,

Reference 14

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Observation dce92810-9a90-4692-9399-f4270969a8af · outbound

This paper cites A systematic literature review of Burgers’ equation with recent advances,.

Arithmetic selection rules in dispersionless Hamiltonian systems A systematic literature review of Burgers’ equation with recent advances,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.612014Z

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Observation ade1ebdb-6218-4372-bcc5-3be00af9c19a · outbound

This paper cites Progresses on Some Open Problems Related to Infinitely Many Symmetries,.

Arithmetic selection rules in dispersionless Hamiltonian systems Progresses on Some Open Problems Related to Infinitely Many Symmetries,

Reference 16

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Observation 3a76f363-8872-4e77-8d38-46a1667a242d · outbound

This paper cites Integrability of Limit Shapes of the Six Vertex Model.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrability of Limit Shapes of the Six Vertex Model

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-12T04:52:12.346310Z

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Observation e11cf1b8-3d61-4047-b7e3-fdcac75e155d · outbound

This paper cites Covariant canonical formulations of classical field theories.

Arithmetic selection rules in dispersionless Hamiltonian systems Covariant canonical formulations of classical field theories

Reference 18

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Observation 5a258a29-d3c1-4023-b19d-32b66cef5de4 · outbound

This paper cites Hints on integrability in the Wilsonian/holographic renormalization group,.

Arithmetic selection rules in dispersionless Hamiltonian systems Hints on integrability in the Wilsonian/holographic renormalization group,

Reference 19

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Observation 333867a5-fe53-4e8b-a1d1-3db727b10c01 · outbound

This paper cites An exact statement for Wilsonian and Holographic renormalization group.

Arithmetic selection rules in dispersionless Hamiltonian systems An exact statement for Wilsonian and Holographic renormalization group

Reference 20

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Observation 6441e7da-07dc-49c9-a44b-41b58ebe9202 · outbound

This paper cites Renormalization and Effective Lagrangians,.

Arithmetic selection rules in dispersionless Hamiltonian systems Renormalization and Effective Lagrangians,

Reference 21

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Observation 0ce7cb22-e6ac-41c9-8373-9684af3d7763 · outbound

This paper cites The Wilson-Polchinski exact renormalization group equation.

Arithmetic selection rules in dispersionless Hamiltonian systems The Wilson-Polchinski exact renormalization group equation

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-12T04:52:12.320940Z

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Observation 73ecad3c-fa71-4756-a734-0af1df3cb62e · outbound

This paper cites Multi-Hamiltonian structure of the Born–Infeld equation,.

Arithmetic selection rules in dispersionless Hamiltonian systems Multi-Hamiltonian structure of the Born–Infeld equation,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.590289Z

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Observation 0b1f1b9e-9bbd-4190-8ba3-e31fa55dc6aa · outbound

This paper cites Perfect Fluid Theory and its Extensions.

Arithmetic selection rules in dispersionless Hamiltonian systems Perfect Fluid Theory and its Extensions

Reference 24

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Observation b1ab572c-0f0a-4814-bea6-fcc2bee5727a · outbound

This paper cites The On-Line Encyclopedia of Integer Sequences,.

Arithmetic selection rules in dispersionless Hamiltonian systems The On-Line Encyclopedia of Integer Sequences,

Reference 25

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Observation a9ac5b60-53eb-4981-9692-c509c19df029 · outbound

This paper cites “Motzkin paths, Motzkin polynomials and recurrence relations,.

Arithmetic selection rules in dispersionless Hamiltonian systems “Motzkin paths, Motzkin polynomials and recurrence relations,

Reference 26

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Observation 28dc1c73-7daf-4923-bebb-8587f8ca0ed4 · outbound

This paper cites Asymptotic integrability of nonlinear wave equations,.

Arithmetic selection rules in dispersionless Hamiltonian systems Asymptotic integrability of nonlinear wave equations,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.569515Z

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Observation ea5e7418-9e89-4889-9bd5-2c0a2b648edf · outbound

This paper cites Quasiclassical integrability condition in AKNS scheme,.

Arithmetic selection rules in dispersionless Hamiltonian systems Quasiclassical integrability condition in AKNS scheme,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.562576Z

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Observation 7c6cbc0a-5c6a-41e4-8f0e-4a9de33a9aa3 · outbound

This paper cites Lagrangian Approach to Dispersionless KdV Hierarchy,.

Arithmetic selection rules in dispersionless Hamiltonian systems Lagrangian Approach to Dispersionless KdV Hierarchy,

Reference 29

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Observation 3dd6455c-6d04-4edd-9f9f-ee598a4a0a44 · outbound

This paper cites Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method,.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.548071Z

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Observation a3303668-189c-48dd-8e5f-8f6f74a2eb76 · outbound

This paper cites Integrable evolution equations on associative algebras,.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrable evolution equations on associative algebras,

Reference 31

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Observation 40d1051d-0a5d-4d1c-95b3-09daeb25be81 · outbound

This paper cites The quadratic bundle of general form and the nonlinear evolution equations. II. Hierarchies of Hamiltonian structures,.

Arithmetic selection rules in dispersionless Hamiltonian systems The quadratic bundle of general form and the nonlinear evolution equations. II. Hierarchies of Hamiltonian structures,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.532755Z

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Observation 9aa6e01e-c002-443e-b4a2-bd099fc48c81 · outbound

This paper cites Bifurcations of Phase Portraits, Exact Solutions and Conservation Laws of the Generalized Gerdjikov–Ivanov Model,.

Arithmetic selection rules in dispersionless Hamiltonian systems Bifurcations of Phase Portraits, Exact Solutions and Conservation Laws of the Generalized Gerdjikov–Ivanov Model,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.525633Z

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Observation e1bff825-ef1a-45a2-a70c-616798f9cfa1 · outbound

This paper cites Solutions to the wave equation for commuting – 16 – flows of dispersionless PDEs,.

Arithmetic selection rules in dispersionless Hamiltonian systems Solutions to the wave equation for commuting – 16 – flows of dispersionless PDEs,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.518201Z

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Observation 0b45530f-2360-427b-91f3-645ec613fdff · outbound

This paper cites Solitary Waves of Burgers Hierarchy Equations,.

Arithmetic selection rules in dispersionless Hamiltonian systems Solitary Waves of Burgers Hierarchy Equations,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.510765Z

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Observation e1683acd-fa19-4189-b2f0-ae896cc11e5c · outbound

This paper cites The Diophantine equationx 2 −Dy 2 =N,D >0,.

Arithmetic selection rules in dispersionless Hamiltonian systems The Diophantine equationx 2 −Dy 2 =N,D >0,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.503422Z

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Observation 1e9351f9-40fc-48be-97d6-7b7804acb4d1 · outbound

This paper cites Solving the Pell equation,.

Arithmetic selection rules in dispersionless Hamiltonian systems Solving the Pell equation,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.495432Z

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Observation 741aeef7-0373-4f95-8162-f364cda3e1a9 · outbound

This paper cites Deformations of dispersionless Lax systems,.

Arithmetic selection rules in dispersionless Hamiltonian systems Deformations of dispersionless Lax systems,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.487080Z

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Observation a481b1e9-cf28-4933-8815-97fc1901cfba · outbound

This paper cites Integrable equations in 2 + 1 dimensions: deformations of dispersionless limits,.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrable equations in 2 + 1 dimensions: deformations of dispersionless limits,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.479165Z

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Observation 68316409-2494-4532-bf4f-9bf8159daae2 · outbound

This paper cites Nonlinear Schr¨ odinger equations of general form and their exact solutions,.

Arithmetic selection rules in dispersionless Hamiltonian systems Nonlinear Schr¨ odinger equations of general form and their exact solutions,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.471056Z

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Observation e6353eef-1261-466c-a78b-0f9753608851 · outbound

This paper cites Integration of nonlinear system of four waves with two velocities in (2 + 1) dimensions by the inverse scattering transform method,.

Arithmetic selection rules in dispersionless Hamiltonian systems Integration of nonlinear system of four waves with two velocities in (2 + 1) dimensions by the inverse scattering transform method,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.463131Z

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Observation be255c43-d68b-4e74-b94d-e5b05d2cd55a · outbound

This paper cites Lagrangian multiforms and dispersionless integrable systems,.

Arithmetic selection rules in dispersionless Hamiltonian systems Lagrangian multiforms and dispersionless integrable systems,

Reference 42

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Observation 9370230a-6a4c-4027-96be-023acffe7db9 · outbound

This paper cites Interpolating Dispersionless Integrable System.

Arithmetic selection rules in dispersionless Hamiltonian systems Interpolating Dispersionless Integrable System

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-12T04:52:12.305240Z

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Observation c057401f-5525-46b8-af47-fb26b52e22ba · outbound

This paper cites Integrability via geometry: dispersionless differential equations in three and four dimensions.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrability via geometry: dispersionless differential equations in three and four dimensions

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-12T04:52:12.295520Z

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Observation ba4b745f-5fe0-4778-978b-b16a23ee858c · outbound

This paper cites Integrability ex machina.

Arithmetic selection rules in dispersionless Hamiltonian systems Integrability ex machina

Reference 45

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Observation 6bbb67ad-3966-4ca6-a178-f3e976dc4b0b · outbound

This paper cites Classical integrability in the presence of a cosmological constant: analytic and machine learning results.

Arithmetic selection rules in dispersionless Hamiltonian systems Classical integrability in the presence of a cosmological constant: analytic and machine learning results

Reference 46

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Observation aecf19ff-9f10-4cfa-ba15-cdffe9d61e09 · outbound

This paper cites Machine-Learning Search for Lax Connections.

Arithmetic selection rules in dispersionless Hamiltonian systems Machine-Learning Search for Lax Connections

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-12T04:52:12.273931Z

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Observation b04fb9f0-3376-426a-9873-b534858bdce3 · outbound

This paper cites Direct poisson neural networks: learning non-symplectic mechanical systems,.

Arithmetic selection rules in dispersionless Hamiltonian systems Direct poisson neural networks: learning non-symplectic mechanical systems,

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:52:12.447054Z

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Observation 79bd5874-5bde-41c7-b774-88f5b95debf9 · outbound

This paper cites Gauge Theory And Integrability, III.

Arithmetic selection rules in dispersionless Hamiltonian systems Gauge Theory And Integrability, III

Reference 49

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Observation 2841cc02-dfe2-48c3-92c2-f9154a382765 · outbound

This paper cites Dualities and discretizations of integrable quantum field theories from 4d Chern-Simons theory,.

Arithmetic selection rules in dispersionless Hamiltonian systems Dualities and discretizations of integrable quantum field theories from 4d Chern-Simons theory,

Reference 50

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Observation 14e19769-cafc-43e7-a51f-56bf7a49bedd · outbound

This paper cites Gauge Theory and Integrability: An Overview.

Arithmetic selection rules in dispersionless Hamiltonian systems Gauge Theory and Integrability: An Overview

Reference 51

Resolution: verified exact; local_arxiv, observed 2026-08-12T04:52:12.170260Z

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