The second Hamiltonian structure for the periodic Toda lattice

DOI10.1017/S0308210500029905zbMath0876.35111OpenAlexW2327350595MaRDI QIDQ4349173

Gloria Marí Beffa

Publication date: 25 November 1997

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500029905

zbMATH Keywords

Hamiltonian structurePoisson geometrysingular leaves

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• The local structure of Poisson manifolds
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Coadjoint orbits of the Virasoro group
• Unitary representations of some infinite dimensional groups
• A transverse structure for the Lie-Poisson bracket on the dual of the Virasoro algebra
• A Transformation Connecting the Toda Lattice and the K-dV Equation
• Compatible poisson structures and the virasoro algebra
• Integrals of nonlinear equations of evolution and solitary waves
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