Integrability conditions for nonautonomous quad-graph equations

DOI10.1016/j.jmaa.2006.09.026zbMath1119.35079arXivnlin/0611019OpenAlexW2118065183MaRDI QIDQ879152

R. Sahadevan, Olexandr G. Rasin, Peter E. Hydon

Publication date: 4 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0611019

zbMATH Keywords

conservation lawsLax pairintegrability conditionscompletely integrable partial difference equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Partial functional-differential equations (35R10) Lattice dynamics; integrable lattice equations (37K60)

Related Items (8)

Solutions and three-dimensional consistency for nonautonomous extended lattice Boussinesq-type equations ⋮ Solutions and continuum limits to nonlocal discrete sine‐Gordon equations: Bilinearization reduction method ⋮ Algebraic entropy of (integrable) lattice equations and their reductions ⋮ A variational principle for discrete integrable systems ⋮ A completeness study on discrete, 2×2 Lax pairs ⋮ Self-adjointness and conservation laws of difference equations ⋮ Lax integrable nonlinear partial difference equations ⋮ Generalized symmetries and integrability conditions for hyperbolic type semi-discrete equations ^*

Cites Work

• Integrable symplectic maps
• Linear integral equations and nonlinear difference-difference equations
• On non-isospectral flows, Painlevé equations, and symmetries of differential and difference equations
• Complete integrability and singularity confinement of nonautonomous modified Korteweg-de Vries and sine Gordon mappings
• Classification of integrable equations on quad-graphs. The consistency approach
• Discrete integrable systems. Proceedings of the international CIMPA school, Pondicherry, India, February 2--14, 2003
• The discrete Korteweg-de Vries equation
• Conservation laws of discrete Korteweg-de Vries equation
• Conservation laws of partial difference equations with two independent variables
• Deconstructing an integrable lattice equation
• Integrable maps
• Nonlinear differential–difference equations and Fourier analysis
• A Nonlinear Difference Scheme and Inverse Scattering
• A new two-dimensional lattice model that is  consistent around a cube
• Discrete versions of the Painlevé equations
• Do integrable mappings have the Painlevé property?

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