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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
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
Citation:
V. G. Marikhin, V. V. Sokolov, “Separation of variables on a non-hyperelliptic curve”, Regul. Chaotic Dyn., 10:1 (2005), 59–70
Linking options:
https://www.mathnet.ru/eng/rcd696 https://www.mathnet.ru/eng/rcd/v10/i1/p59
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Abstract page: | 73 |
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