On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian

Details On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian

1998-11-10

arxiv.org/abs/solv-int/9811007v1

Phys. Lett. A 247 (1998), 59-64

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, AMS-LaTex 1.1

Scientific paper

10.1016/S0375-9601(98)00543-X

It is shown that a class of dynamical systems (encompassing the one recently considered by F. Calogero [J. Math. Phys. 37 (1996) 1735]) is both quasi-bi-Hamiltonian and bi-Hamiltonian. The first formulation entails the separability of these systems; the second one is obtained trough a non canonical map whose form is directly suggested by the associated Nijenhuis tensor.

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