Separation of variables on a non-hyperelliptic curve

Details Separation of variables on a non-hyperelliptic curve Separation of variables on a non-hyperelliptic curve

2004-12-27

arxiv.org/abs/nlin/0412065v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages

Scientific paper

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. We find it directly from the Hamilton-Jacobi equation. We find the action and a separation of variables for the Kowalewski hyrostat, the Clebsch and the so(4) Schottky-Manakov spinning tops.

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