Commutative Poisson subalgebras for the Sklyanin bracket and deformations of known integrable models

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dc.creatorSokolov, V. V.
dc.creatorTsiganov, A. V.
dc.date2001-12-08
dc.date.accessioned2026-07-07T05:33:48Z
dc.date.available2026-07-07T05:33:48Z
dc.descriptionA hierarchy of commutative Poisson subalgebras for the Sklyanin bracket is proposed. Each of the subalgebras provides a complete set of integrals in involution with respect to the Sklyanin bracket. Using different representations of the bracket, we find some integrable models and a separation of variables for them. The models obtained are deformations of known integrable systems like the Goryachev-Chaplygin top, the Toda lattice and the Heisenberg model.
dc.description11 pages, LaTeX with amssymb
dc.identifierhttps://arxiv.org/abs/nlin/0112011
dc.identifierhttp://arxiv.org/abs/nlin/0112011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80130
dc.subjectExactly Solvable and Integrable Systems
dc.titleCommutative Poisson subalgebras for the Sklyanin bracket and deformations of known integrable models
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