Bi-Hamiltonian structures of Toda type systems
Mathematical Physics
2015-04-29 v1 math.MP
Abstract
In this paper we define a family of systems which have similarities with the Toda lattice. We construct two Lax pair representations and the associate Poisson structures for these systems. These systems lie between the classical Toda lattice and the full Kostant-Toda lattice. A Hamiltonian and a bi-Hamiltonian structure for these systems is constructed and also master symmetries for some low dimensional cases are presented.
Cite
@article{arxiv.1504.07531,
title = {Bi-Hamiltonian structures of Toda type systems},
author = {Charalampos A. Evripidou},
journal= {arXiv preprint arXiv:1504.07531},
year = {2015}
}
Comments
13 pages. arXiv admin note: substantial text overlap with arXiv:1305.7329