Method for searching higher symmetries for quad-graph equations

DOI10.1088/1751-8113/44/32/325202zbMath1225.37086arXiv1104.0493OpenAlexW3101255247MaRDI QIDQ3091884

E. V. Gudkova, Rustem Garifullin, Ismagil T. Habibullin

Publication date: 14 September 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0493

zbMATH Keywords

integrability conditionshigher symmetriesnonlinear quad-graph equationssymmetry-finding algorithm

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60)

Related Items (8)

A direct algorithm for constructing recursion operators and Lax pairs for integrable models ⋮ On the inverse problem of the discrete calculus of variations ⋮ Classification of variational multiplicative fourth-order difference equations ⋮ Reconstructing a lattice equation: a non-autonomous approach to the Hietarinta equation ⋮ Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations ⋮ An unusual series of autonomous discrete integrable equations on a square lattice ⋮ Determining the symmetries of difference equations ⋮ Generalized symmetries and integrability conditions for hyperbolic type semi-discrete equations ^*

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