Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables

Details Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables

1998-11-10

arxiv.org/abs/solv-int/9811008v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, no figures, LaTeX 2.09, to be published in Report on Mathematical Physics

Scientific paper

10.1016/S0034-4877(99)80167-0

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.

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