Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices
L. Faybusovich, M. Gekhtman
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.
Create a lesson
Related papers
Nonlinear Spectral Computing
Ludovica Falsi, Francesco Coppini, Claudio Conti
The Riemann theta function near soliton limit
Yuji Kodama
Correlation functions of the 19-vertex IRF model and its integrable quantum spin-1 chain
T. S. Tavares, H. B. Abreu, G. A. P. Ribeiro
A novel extension of the canonical 2+1-dimensional Dym equation. Moving boundary problems solvable via Painleve' II Reduction
Colin Rogers, Sandra Carillo
A solution to the quantum Yang--Baxter equation associated with a universal two-valued algebraic group
Victor M. Buchstaber
Asymptotic behavior analysis of solutions to the Heisenberg ferromagnet equation with the Schwartz initial data
Xumeng Zhou, Xianguo Geng, Bo Xue