This article is cited 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.

MSC: 37N15, 37K20, 14K20

Received: 11.01.2005
Accepted: 25.03.2005

Language: English

DOI: 10.1070/RD2005v010n01ABEH000300

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