Darboux integrable discrete equations possessing an autonomous first-order integral

DOI10.1088/1751-8113/47/10/105204zbMath1292.39003arXiv1310.2282OpenAlexW3099478684MaRDI QIDQ5408848

Sergey Ya. Startsev

Publication date: 11 April 2014

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

Full work available at URL: https://arxiv.org/abs/1310.2282

zbMATH Keywords

Darboux integrabilityhigher symmetryDarboux-like difference equationpartial difference equations on quad-graph

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) Partial difference equations (39A14)

Related Items (5)

Relationships between symmetries depending on arbitrary functions and integrals of discrete equations ⋮ Darboux integrability of trapezoidalH⁴andH⁴families of lattice equations I: first integrals ⋮ Reconstructing a lattice equation: a non-autonomous approach to the Hietarinta equation ⋮ On Darboux non-integrability of Hietarinta equation ⋮ Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations

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