Integrable Möbius-invariant evolutionary lattices of second order

DOI10.1007/s10688-016-0157-9zbMath1364.35399arXiv1605.00018OpenAlexW2345556450MaRDI QIDQ524114

Vsevolod Eduardovich Adler

Publication date: 25 April 2017

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00018

zbMATH Keywords

symmetryintegrabilityconservation lawcross-ratioMöbius invariant

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 differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lattice dynamics; integrable lattice equations (37K60) Integro-partial differential equations (35R09)

Related Items (10)

Classification of five-point differential–difference equations II ⋮ Classification of five-point differential-difference equations ⋮ On the integrability of lattice equations with two continuum limits ⋮ Modified series of integrable discrete equations on a quadratic lattice with a nonstandard symmetry structure ⋮ On integrability of a discrete analogue of Kaup - Kupershmidt equation ⋮ Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations ⋮ Integrable seven-point discrete equations and second-order evolution chains ⋮ Integrable modifications of the Ito-Narita-Bogoyavlensky equation ⋮ Algebraic entropy of a class of five-point differential-difference equations ⋮ A Novel Integrable Fourth-Order Difference Equation Admitting Three Invariants

Cites Work

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