On the Lax pairs for the generalized Kowalewski and Goryachev-Chaplygin tops

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dc.creatorSokolov, Vladimir V.
dc.creatorTsiganov, Andrey V.
dc.date2001-11-15
dc.date2001-11-16
dc.date.accessioned2026-07-07T05:33:46Z
dc.date.available2026-07-07T05:33:46Z
dc.descriptionA polynomial deformation of the Kowalewski top is considered. This deformation includes as a degeneration a new integrable case for the Kirchhoff equations found recently by one of the authors. A $5\times 5$ matrix Lax pair for the deformed Kowalewski top is proposed. Also deformations of the two-field Kowalewski gyrostat and the $so(p,q)$ Kowalewski top are found. All our Lax pairs are deformations of the corresponding Lax representations found by Reyman and Semenov-Tian {S}hansky. In addition, a similar deformation of the Goryachev-Chaplygin top and its $3\times 3$ matrix Lax representation is constructed.
dc.description9 pages, LaTeX, with corrections
dc.identifierhttps://arxiv.org/abs/nlin/0111035
dc.identifierhttp://arxiv.org/abs/nlin/0111035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80117
dc.subjectExactly Solvable and Integrable Systems
dc.titleOn the Lax pairs for the generalized Kowalewski and Goryachev-Chaplygin tops
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