An unusual series of autonomous discrete integrable equations on a square lattice

DOI10.1134/S0040577919070031zbMath1430.39005arXiv1808.05042WikidataQ127398855 ScholiaQ127398855MaRDI QIDQ2281377

Yanyan Li

Publication date: 19 December 2019

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

Full work available at URL: https://arxiv.org/abs/1808.05042

zbMATH Keywords

conservation lawintegrable systemgeneralized symmetryquad equation

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) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (4)

Classification of semidiscrete equations of hyperbolic type. The case of third-order symmetries ⋮ Modified series of integrable discrete equations on a quadratic lattice with a nonstandard symmetry structure ⋮ On series of Darboux integrable discrete equations on square lattice ⋮ Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations

Cites Work

• Formal diagonalization of a discrete Lax operator and conservation laws and symmetries of dynamical systems
• Symmetry approach to the integrability problem
• Master symmetries for differential-difference equations of the Volterra type
• Integrable seven-point discrete equations and second-order evolution chains
• The discrete Korteweg-de Vries equation
• Discrete equation on a square lattice with a nonstandard structure of generalized symmetries
• Characteristic algebras of fully discrete hyperbolic type equations
• Non-invertible transformations of differential–difference equations
• Classification of five-point differential-difference equations
• Generalized symmetry integrability test for discrete equations on the square lattice
• Method for searching higher symmetries for quad-graph equations
• Generalized symmetry classification of discrete equations of a class depending on twelve parameters
• Symmetries as integrability criteria for differential difference equations
• The generalized symmetry method for discrete equations
• Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure
• Integrable discretizations of derivative nonlinear Schr dinger equations
• Conserved Quantities of a Class of Nonlinear Difference-Difference Equations
• Classification of five-point differential–difference equations II
• Peculiar symmetry structure of some known discrete nonautonomous equations
• Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations

This page was built for publication: An unusual series of autonomous discrete integrable equations on a square lattice