Discrete equation on a square lattice with a nonstandard structure of generalized symmetries

DOI10.1007/s11232-014-0178-6zbMath1311.39007OpenAlexW2089772553WikidataQ61835397 ScholiaQ61835397MaRDI QIDQ2262769

Yanyan Li

Publication date: 16 March 2015

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

Full work available at URL: https://doi.org/10.1007/s11232-014-0178-6

zbMATH Keywords

conservation law\(L-A\) pairgeneralized symmetrydiscrete integrable equationintegrable systems of hyperbolic type

Mathematics Subject Classification ID

Related Items (16)

Classification of semidiscrete equations of hyperbolic type. The case of third-order symmetries ⋮ 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 ⋮ Formal diagonalization of a discrete Lax operator and conservation laws and symmetries of dynamical systems ⋮ On integrability of a discrete analogue of Kaup - Kupershmidt equation ⋮ Necessary integrability conditions for evolutionary lattice equations ⋮ Integrable Möbius-invariant evolutionary lattices of second order ⋮ The non-autonomous YdKN equation and generalized symmetries of Boll equations ⋮ Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations ⋮ An unusual series of autonomous discrete integrable equations on a square lattice ⋮ Integrable seven-point discrete equations and second-order evolution chains ⋮ Determining the symmetries of difference equations ⋮ On the recursion operators for integrable equations ⋮ Algebraic entropy of a class of five-point differential-difference equations ⋮ Painlevé type reductions for the non-Abelian Volterra lattices ^*

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Recursion operators, conservation laws, and integrability conditions for difference equations
• Darboux transformations and recursion operators for differential-difference equations
• Formal diagonalization of a discrete Lax operator and conservation laws and symmetries of dynamical systems
• Second order integrability conditions for difference equations: an integrable equation
• Symmetry approach to the integrability problem
• Lie algebras and equations of Korteweg-de Vries type
• Integrability conditions for an analogue of the relativistic Toda chain
• Generalized symmetry integrability test for discrete equations on the square lattice
• Generalized symmetry classification of discrete equations of a class depending on twelve parameters
• Symmetries as integrability criteria for differential difference equations
• Symmetries and integrability of discrete equations defined on a black–white lattice
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
• An $H$-theorem for a system of competing species
• Conditions for the existence of higher symmetries of evolutionary equations on the lattice
• Integrable discretizations of derivative nonlinear Schr dinger equations
• On the integrability of a new lattice equation found by multiple scale analysis

This page was built for publication: Discrete equation on a square lattice with a nonstandard structure of generalized symmetries