Presymplectic representation of bi-Hamiltonian chain
Exactly Solvable and Integrable Systems
2009-11-10 v1
Abstract
Liouville integrable systems, which have bi-Hamiltonian representation of the Gel'fand-Zakharevich type, are considered. Bi-presymplectic representation of one-Casimir bi-Hamiltonian chains and weakly bi-presymplectic representation of multi-Casimir bi-Hamiltonian chains are constructed. The reduction procedure for Poisson and presymplectic structures is presented.
Keywords
Cite
@article{arxiv.nlin/0410057,
title = {Presymplectic representation of bi-Hamiltonian chain},
author = {Maciej Blaszak},
journal= {arXiv preprint arXiv:nlin/0410057},
year = {2009}
}
Comments
17 pages, to appear in J. Phys. A: Math. Gen