Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
We introduce a family of compatible Poisson brackets on the space of rational functions with denominator of a fixed degree and use it to derive a multi-Hamiltonian structure for a family of integrable lattice equations that includes both the standard and the relativistic Toda lattices.
Cite
@article{arxiv.nlin/0006045,
title = {Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices},
author = {L. Faybusovich and M. Gekhtman},
journal= {arXiv preprint arXiv:nlin/0006045},
year = {2007}
}
Comments
12 pages, Latex