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Regular and Chaotic Dynamics, 2005, Volume 10, Issue 1, Pages 59–70
DOI: https://doi.org/10.1070/RD2005v010n01ABEH000300 (Mi rcd696) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Separation of variables on a non-hyperelliptic curve

V. G. Marikhin, V. V. Sokolov

Landau Institute for Theoretical Physics, 2, Kosygina str., 119334 Moscow, Russia
Citations (19)
DOI: https://doi.org/10.1070/RD2005v010n01ABEH000300
Abstract: In the paper we consider several dynamical systems that admit a separation of variables on the algebraic curve of genus 4. The main result of the paper is an explicit formula for the action of these systems. It is obtained directly from the Hamilton–Jacobi equation. We find the action and a separation of variables for the Clebsch and the $so(4)$ Schottky–Manakov spinning tops.
Keywords: integrable tops, separation of variables, Hamilton–Jacobi equation.
Received: 11.01.2005
Accepted: 25.03.2005
Bibliographic databases:
Document Type: Article
MSC: 37N15, 37K20, 14K20
Language: English
Citation: V. G. Marikhin, V. V. Sokolov, “Separation of variables on a non-hyperelliptic curve”, Regul. Chaotic Dyn., 10:1 (2005), 59–70
Citation in format AMSBIB
\Bibitem{MarSok05}
\by V. G. Marikhin, V. V. Sokolov
\paper Separation of variables on a non-hyperelliptic curve
\jour Regul. Chaotic Dyn.
\yr 2005
\vol 10
\issue 1
\pages 59--70
\mathnet{http://mi.mathnet.ru/rcd696}
\crossref{https://doi.org/10.1070/RD2005v010n01ABEH000300}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2136830}
\zmath{https://zbmath.org/?q=an:1077.37518}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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