Separation of variables on a non-hyperelliptic curve

2004/12/27 by V. G. Marikhin, В. В. Соколов, Marikhin, V. G. +2
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Microtubule and mitosis dynamics #Nonlinear Waves and Solitons #math-ph #math.DS #math.MP #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0412065

16 pages

arxiv created 2004/12/27 · openalex publication_date 2004/12/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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