New Variables of Separation for the Steklov-Lyapunov System

Details New Variables of Separation for the Steklov-Lyapunov System New Variables of Separation for the Steklov-Lyapunov System

2011-01-23

arxiv.org/abs/1101.4345v2

SIGMA 8 (2012), 012, 14 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.3842/SIGMA.2012.012

A rigid body in an ideal fluid is an important example of Hamiltonian systems
on a dual to the semidirect product Lie algebra $e(3) = so(3)\ltimes\mathbb
R^3$. 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.

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