Generalized Kowalevski top: new integrable cases on $e(3)$ and $so(4)$

dc.creatorSokolov, V.
dc.date2001-10-10
dc.date.accessioned2026-07-07T05:33:43Z
dc.date.available2026-07-07T05:33:43Z
dc.descriptionA three-parameter family of integrable quadratic Hamiltonians on $e(3)$ and $so(4)$ is presented. When one of the parameters vanishes, the Hamiltonian coincides with the Kowalevski Hamiltonian with the girostatic term. If the other two parameters are equal to zero then the Hamiltonian reduces to a new integrable case of the Kirchhoff equations found recently by the author.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/nlin/0110022
dc.identifierhttp://arxiv.org/abs/nlin/0110022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80097
dc.subjectExactly Solvable and Integrable Systems
dc.titleGeneralized Kowalevski top: new integrable cases on $e(3)$ and $so(4)$
dc.typetext

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