New Variables of Separation for the Steklov-Lyapunov System
Exactly Solvable and Integrable Systems
2012-03-21 v2 Mathematical Physics
Dynamical Systems
math.MP
Fluid Dynamics
Abstract
A rigid body in an ideal fluid is an important example of Hamiltonian systems on a dual to the semidirect product Lie algebra . We present the bi-Hamiltonian structure and the corresponding variables of separation on this phase space for the Steklov-Lyapunov system and it's gyrostatic deformation.
Keywords
Cite
@article{arxiv.1101.4345,
title = {New Variables of Separation for the Steklov-Lyapunov System},
author = {Andrey V. Tsiganov},
journal= {arXiv preprint arXiv:1101.4345},
year = {2012}
}