Integrability and asymptotic behaviour of a differential-difference matrix equation

DOI10.1016/j.physd.2020.132754zbMath1493.37087OpenAlexW3089759349WikidataQ115341690 ScholiaQ115341690MaRDI QIDQ2116302

Andrew Pickering, Jonathan A. D. Wattis, Pilar Ruiz Gordoa

Publication date: 16 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://nottingham-repository.worktribe.com/output/4942235

zbMATH Keywords

asymptoticsintegrabilitymatrix equationsdifferential-difference equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (1)

Solution classes of the matrix second Painlevé hierarchy

Cites Work

• Generalized Volterra lattices: binary Darboux transformations and self-consistent sources
• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• On non-isospectral flows, Painlevé equations, and symmetries of differential and difference equations
• Auto-Bäcklund transformations for a matrix partial differential equation
• Multi-component Volterra and Toda type integrable equations
• Behaviour of the extended modified Volterra lattice-reductions to generalised mKdV and NLS equations
• The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: scalar and matrix cases
• Behaviour of the extended Volterra lattice
• Symmetries as integrability criteria for differential difference equations
• A nonisospectral extension of the Volterra hierarchy to 2+1 dimensions
• Bäcklund transformation and nonlinear superposition formula of an extended Lotka - Volterra equation
• On a Volterra system
• Nonisospectral negative Volterra flows and mixed Volterra flows: Lax pairs, infinitely many conservation laws and integrable time discretization
• Bäcklund Transformation for Solutions of the Modified Volterra Lattice Equation
• A New Derivation of the Bäcklund Transformation for the Volterra Lattice
• Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
• Construction scheme for discrete Miura transformations

This page was built for publication: Integrability and asymptotic behaviour of a differential-difference matrix equation