Characteristic Lie algebra and classification of semidiscrete models

DOI10.1007/s11232-007-0064-6zbMath1145.35463arXivnlin/0610074OpenAlexW2166683745WikidataQ115380666 ScholiaQ115380666MaRDI QIDQ926750

Elsie Sterbin Gottlieb

Publication date: 20 May 2008

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

Full work available at URL: https://arxiv.org/abs/nlin/0610074

zbMATH Keywords

integrabilitydiscrete equationLiouville-type equationDarboux-integrable chainsinfinite ODE system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items

Unnamed Item ⋮ Classification of a subclass of two-dimensional lattices via characteristic Lie rings ⋮ A classification algorithm for integrable two-dimensional lattices via Lie-Rinehart algebras ⋮ Integral preserving discretization of 2D Toda lattices ⋮ On construction of Darboux integrable discrete models ⋮ On the discretization of Darboux Integrable Systems ⋮ Characteristic Lie algebra and classification of semidiscrete models ⋮ Algebraic properties of quasilinear two-dimensional lattices connected with integrability ⋮ On a class of Darboux-integrable semidiscrete equations ⋮ Classification of a subclass of quasilinear two-dimensional lattices by means of characteristic algebras ⋮ Characteristic algebras and integrable exponential systems ⋮ On discretization of Darboux Integrable Systems admitting second-order integrals ⋮ Complete list of Darboux integrable chains of the form t1x=tx+d(t,t1) ⋮ Darboux integrability of discrete two-dimensional Toda lattices ⋮ Semi-discrete hyperbolic equations admitting five dimensional characteristic x-ring ⋮ On the discretization of Laine equations ⋮ Darboux-integrable two-component nonlinear hyperbolic systems of equations

Cites Work

• Unnamed Item
• Characteristic Lie algebra and classification of semidiscrete models
• The discrete Korteweg-de Vries equation
• On the Darboux integrable hyperbolic equations
• The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
• Variable coefficient third order Korteweg–de Vries type of equations
• Discrete analogues of the Liouville equation

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