Integrable lattices

DOI10.1007/BF02557310zbMath0984.37093OpenAlexW3188670290MaRDI QIDQ1568004

V. G. Marikhin, A. B. Shabat

Publication date: 1 May 2002

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

Full work available at URL: https://doi.org/10.1007/bf02557310

zbMATH Keywords

HamiltoniansBäcklund transformationsnonlinear Schrödinger equationsintegrable lattices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

Three-dimensional lattice of Bäcklund transformations of integrable cases of the Davey-Stewartson system ⋮ Special polynomials and rational solutions of the hierarchy of the second Painlevé equation ⋮ Third version of the dressing method ⋮ Discretizations of the Landau-Lifshits equation ⋮ The generalized Yablonskii-Vorob'ev polynomials and their properties ⋮ Action as an invariant of Bäcklund transformations for Lagrangian systems

Cites Work

• Unnamed Item
• Generalized Legendre transformations
• First integrals of generalized Toda chains
• Integrable time-discretization of the Ruijsenaars-Schneider model
• Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
• The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
• On some integrable systems related to the Toda lattice
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

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