A family of the Poisson brackets compatible with the Sklyanin bracket

DOI10.1088/1751-8113/40/18/008zbMath1115.37059arXivnlin/0612025OpenAlexW2097525254MaRDI QIDQ5293880

Andreĭ Vladimirovich Tsyganov

Publication date: 4 July 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/0612025

zbMATH Keywords

integrable systemsHamiltonian systemsToda latticesGoryachev-Chaplygin gyrostat\(XXX\) Heisenbergbi-Hamiltonian descriptionself-trapping model

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Exactly solvable models; Bethe ansatz (82B23)

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