Symmetries of Toda Equations
Mathematical Physics
2015-06-23 v1 math.MP
Abstract
We find a sequence consisting of time dependent evolution vector fields whose time independent part corresponds to the master symmetries for the Toda equations. Each master symmetry decomposes as a sum consisting of a group symmetry and a Hamiltonian vector field. Taking Lie derivatives in the direction of these vector fields produces an infinite sequence of recursion operators.
Keywords
Cite
@article{arxiv.1411.0123,
title = {Symmetries of Toda Equations},
author = {Pantelis A. Damianou},
journal= {arXiv preprint arXiv:1411.0123},
year = {2015}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:nlin/0608018, arXiv:1410.0191