Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices
arXiv:nlin/0006045
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.
12 pages, Latex