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arXiv · solv-int/9811008

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

G. Tondo·C. Morosi
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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.

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G. Tondo, C. Morosi. 1998-11-10. Bi-Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables. https://doi.org/10.1016/s0034-4877(99)80167-0

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