Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables
solv-int
2009-10-31 v1 Exactly Solvable and Integrable Systems
Abstract
We discuss from a bi-Hamiltonian point of view the Hamilton-Jacobi separability of a few dynamical systems. They are shown to admit, in their natural phase space, a quasi-bi-Hamiltonian formulation of Pfaffian type. This property allows us to straightforwardly recover a set of separation variables for the corresponding Hamilton-Jacobi equation.
Keywords
Cite
@article{arxiv.solv-int/9811008,
title = {Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables},
author = {G. Tondo and C. Morosi},
journal= {arXiv preprint arXiv:solv-int/9811008},
year = {2009}
}
Comments
12 pages, no figures, LaTeX 2.09, to be published in Report on Mathematical Physics