Lie point symmetries of differential–difference equations

DOI10.1088/1751-8113/43/29/292002zbMath1197.35303arXiv1004.5311OpenAlexW2963050844MaRDI QIDQ3579965

Ravil I. Yamilov, Decio Levi, Pavel Winternitz

Publication date: 11 August 2010

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

Full work available at URL: https://arxiv.org/abs/1004.5311

zbMATH Keywords

Krichever-Novikov equationToda latticeLie point symmetries

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Partial functional-differential equations (35R10) Discrete version of topics in analysis (39A12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lattice dynamics; integrable lattice equations (37K60)

Related Items (8)

Continuous symmetries of certain nonlinear partial difference equations and their reductions ⋮ Lie group analysis of a generalized Krichever-Novikov differential-difference equation ⋮ Perturbation to symmetry and adiabatic invariants of discrete nonholonomic nonconservative mechanical system ⋮ On the complete integrability of nonlinear dynamical systems on functional manifolds within the gradient-holonomic approach ⋮ Invariant conservation law-preserving discretizations of linear and nonlinear wave equations ⋮ A discrete nonlinear Schrödinger-type hierarchy, its finite-dimensional reduction analysis, and the numerical integration scheme ⋮ Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach ⋮ The discretized Boussinesq equation and its conditional symmetry reduction

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