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.

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

MOROSI, CARLO;
1999-01-01

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.
1999
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/560886
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