On the Structure of the Bäcklund Transformations for the Relativistic Lattices

DOI10.2991/jnmp.2000.7.1.4zbMath1119.37330arXivnlin/0001072OpenAlexW3100121712MaRDI QIDQ4498277

Vsevolod Eduardovich Adler

Publication date: 15 August 2000

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0001072

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (5)

Reduction groups and related integrable difference systems of nonlinear Schrödinger type ⋮ Solitons of a simple nonlinear model on the cubic lattice ⋮ Non-symmetric discrete Toda systems from quad-graphs ⋮ Integrable seven-point discrete equations and second-order evolution chains ⋮ Multi-component extension of CAC systems

Cites Work

• Unnamed Item
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• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Theory of nonlinear lattices
• Generalized Schrödinger equations and Jordan pairs
• Generalized Legendre transformations
• Quantum beats of light polarizations induced by anisotropic relaxation: A system with angular momentum \(3/2\)
• Deformations of nonassociative algebras and integrable differential equations
• Bi-Hamiltonian structure of the \(qd\) algorithm and new discretizations of the Toda lattice
• Multi-component Volterra and Toda type integrable equations
• Relativistic Toda systems
• Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
• A discrete-time relativistic Toda lattice
• New integrable systems related to the relativistic Toda lattice
• A unified algebraic approach to integral and discrete evolution equations

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