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Эта публикация цитируется в 19 научных статьях (всего в 19 статьях)
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
Аннотация:
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.
Ключевые слова:
integrable tops, separation of variables, Hamilton–Jacobi equation.
Поступила в редакцию: 11.01.2005 Принята в печать: 25.03.2005
Образец цитирования:
V. G. Marikhin, V. V. Sokolov, “Separation of variables on a non-hyperelliptic curve”, Regul. Chaotic Dyn., 10:1 (2005), 59–70
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd696 https://www.mathnet.ru/rus/rcd/v10/i1/p59
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