A tri-Hamiltonian formulation of the full Kostant-Toda lattice

DOI10.1007/BF00739371zbMath0831.58027OpenAlexW1987231437MaRDI QIDQ1900441

Paschalis Paschalis, Pantelis A. Damianou, Christodoulos Sophocleous

Publication date: 25 February 1996

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00739371

zbMATH Keywords

Poisson bracketsKostant-Toda latticetri-Hamiltonian

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)

Related Items

Lax pairs, symmetries and recursion operators for Toda lattices ⋮ Elementary Toda orbits and integrable lattices

Cites Work

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• Master symmetries and r-matrices for the Toda lattice
• Nonlinear Poisson structures and r-matrices
• The solution to a generalized Toda lattice and representation theory
• R-matrices and higher Poisson brackets for integrable systems
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• The toda flow on a generic orbit is integrable
• Evolution equations possessing infinitely many symmetries
• A simple model of the integrable Hamiltonian equation
• On the master symmetries and bi-Hamiltonian structure of the Toda lattice
• The Toda lattice. II. Existence of integrals

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