The symplectic structure of rational Lax pair systems

Details The symplectic structure of rational Lax pair systems The symplectic structure of rational Lax pair systems

1998-12-07

arxiv.org/abs/solv-int/9812009v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages, no figure, Latex

Scientific paper

10.1016/S0375-9601(99)00298-4

We consider dynamical systems associated to Lax pairs depending rationnally
on a spectral parameter. We show that we can express the symplectic form in
terms of algebro--geometric data provided that the symplectic structure on L is
of Kirillov type. In particular, in this case the dynamical system is
integrable.

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