The symplectic structure of rational Lax pair systems
solv-int
2009-10-31 v1 Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@article{arxiv.solv-int/9812009,
title = {The symplectic structure of rational Lax pair systems},
author = {O. Babelon and M. Talon},
journal= {arXiv preprint arXiv:solv-int/9812009},
year = {2009}
}
Comments
8 pages, no figure, Latex