On non-point invertible transformations of difference and differential-difference equations

DOI10.3842/SIGMA.2010.092zbMath1218.39008arXiv1010.0361OpenAlexW1970569680WikidataQ115219681 ScholiaQ115219681MaRDI QIDQ542719

Yong-Cai Geng, Sumit K. Garg

Publication date: 17 June 2011

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0361

zbMATH Keywords

difference equationsDarboux integrabilityintegrable equationsdifferential-difference equationshigher symmetrydiscrete Liouville equationnon-point transformationHietarinta equation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Partial difference equations (39A14)

Related Items (7)

On construction of Darboux integrable discrete models ⋮ Gambier lattices and other linearisable systems ⋮ Modified series of integrable discrete equations on a quadratic lattice with a nonstandard symmetry structure ⋮ On series of Darboux integrable discrete equations on square lattice ⋮ On Darboux non-integrability of Hietarinta equation ⋮ Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations ⋮ Integrable modifications of the Ito-Narita-Bogoyavlensky equation

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