First integrals of generalized Toda chains

DOI10.1007/BF02575487zbMath0981.37029OpenAlexW2055980193MaRDI QIDQ1567753

A. B. Shabat, Vsevolod Eduardovich Adler

Publication date: 23 April 2002

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

Full work available at URL: https://doi.org/10.1007/bf02575487

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (1)

Integrable lattices

Cites Work

• On a class of Toda chains
• Generalized Legendre transformations
• Boundary conditions for integrable lattices
• A discrete-time relativistic Toda lattice
• Explicit auto-transformations of integrable chains

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