Separation of variables on a non-hyperelliptic curve
Exactly Solvable and Integrable Systems
2007-05-23 v1 Mathematical Physics
Dynamical Systems
math.MP
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. 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.
Keywords
Cite
@article{arxiv.nlin/0412065,
title = {Separation of variables on a non-hyperelliptic curve},
author = {V. G. Marikhin and V. V. Sokolov},
journal= {arXiv preprint arXiv:nlin/0412065},
year = {2007}
}
Comments
16 pages