On two different bi-Hamiltonian structures for the Toda lattice

DOI10.1088/1751-8113/40/24/008zbMath1114.37040arXivnlin/0701062OpenAlexW2032597270MaRDI QIDQ5292578

Andreĭ Vladimirovich Tsyganov

Publication date: 21 June 2007

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

Full work available at URL: https://arxiv.org/abs/nlin/0701062

zbMATH Keywords

Poisson bracketsseparation of variablesPoisson pencilopen 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) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20)

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