On bi-hamiltonian structure of some integrable systems on so*(4)

Details On bi-hamiltonian structure of some integrable systems on so*(4) On bi-hamiltonian structure of some integrable systems on so*(4)

2007-03-29

arxiv.org/abs/nlin/0703062v3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX with Amsfonts, 13 pages, corrected typos

Scientific paper

We classify all the quadratic Poisson structures on $so^*(4)$ and $e^*(3)$,
which have the same foliation by symplectic leaves as the canonical Lie-Poisson
tensors. The separated variables for the some of the corresponding
bi-integrable systems are constructed.

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