Bihamiltonian Geometry and Separation of Variables for Toda Lattices

DOI10.2991/jnmp.2001.8.s.21zbMath0981.37018arXivnlin/0002008OpenAlexW4247510524MaRDI QIDQ2732467

Gregorio Falqui, Marco Pedroni, Franco Magri

Publication date: 23 July 2001

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

Full work available at URL: https://arxiv.org/abs/nlin/0002008

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 finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17)

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Cites Work

• Reduction of Poisson manifolds
• Darboux coordinates and Liouville-Arnold integration in loop algebras
• A bi-Hamiltonian theory for stationary KdV flows and their separability
• Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
• Separation of variables for the -type periodic Toda lattice
• R-matrix theory, formal Casimirs and the periodic Toda lattice

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