On the bi-Hamiltonian structure of Bogoyavlensky–Toda lattices

DOI10.1088/0951-7715/17/2/002zbMath1052.37045OpenAlexW2000475077MaRDI QIDQ4810799

Pantelis A. Damianou

Publication date: 16 August 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/17/2/002

zbMATH Keywords

Lie groupsPoisson bracketsbi-Hamiltonian structureBogoyavlensky-Toda lattices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie groups to the sciences; explicit representations (22E70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Discrete version of topics in analysis (39A12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Lattice dynamics; integrable lattice equations (37K60)

Related Items (8)

The negative relativistic Toda hierarchy Poisson brackets ⋮ MULTIPLE HAMILTONIAN STRUCTURE OF BOGOYAVLENSKY–TODA LATTICES ⋮ New global solutions of the Jacobi partial differential equations ⋮ Poisson quasi-Nijenhuis deformations of the canonical PN structure ⋮ Generalization of the separation of variables in the Jacobi identities for finite-dimensional Poisson systems ⋮ Integrable hierarchies and the modular class ⋮ Poisson quasi-Nijenhuis manifolds and the Toda system ⋮ The negative Toda hierarchy and rational Poisson brackets

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