Non-point invertible transformations and integrability of partial difference equations

DOI10.3842/SIGMA.2014.066zbMath1297.39013arXiv1311.2240MaRDI QIDQ401249

J. Herrera, H. S. Yoon

Publication date: 26 August 2014

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

Full work available at URL: https://arxiv.org/abs/1311.2240

zbMATH Keywords

Darboux integrabilityhigher symmetrydifference substitutiondiscrete Liouville equationnon-point transformationpartial difference quad-graph equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Partial difference equations (39A14)

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Classification of semidiscrete equations of hyperbolic type. The case of third-order symmetries ⋮ On Darboux non-integrability of Hietarinta equation

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