Multiple Hamiltonian Structures for Toda-type systems
Mathematical Physics
2015-06-23 v1 math.MP
Abstract
Results on the finite nonperiodic Toda lattice are extended to some generalizations of the system: The relativistic Toda lattice, the generalized Toda lattice associated with simple Lie groups and the full Kostant-Toda lattice. The areas investigated, include master symmetries, recursion operators, higher Poisson brackets, invariants, and group symmetries for the systems. A survey of previous work on the classical Toda lattice is also included.
Cite
@article{arxiv.1410.0191,
title = {Multiple Hamiltonian Structures for Toda-type systems},
author = {Pantelis A. Damianou},
journal= {arXiv preprint arXiv:1410.0191},
year = {2015}
}
Comments
48 pages, 46 references. arXiv admin note: substantial text overlap with arXiv:nlin/0608018