Bi-Hamiltonian ODEs with matrix variables
Exactly Solvable and Integrable Systems
2011-05-10 v1
Abstract
We consider a special class of linear and quadratic Poisson brackets related to ODE systems with matrix variables. We investigate general properties of such brackets, present an example of a compatible pair of quadratic and linear brackets and found the corresponding hierarchy of integrable models, which generalizes the two-component Manakov's matrix system in the case of arbitrary number of matrices.
Cite
@article{arxiv.1105.1740,
title = {Bi-Hamiltonian ODEs with matrix variables},
author = {Alexander Odesskii and Vladimir Rubtsov and Vladimir Sokolov},
journal= {arXiv preprint arXiv:1105.1740},
year = {2011}
}
Comments
9 pages, latex