Direct delay reductions of the Toda hierarchy
Exactly Solvable and Integrable Systems
2010-05-06 v1
Abstract
We apply the direct method of obtaining reductions to the Toda hierarchy of equations. The resulting equations form a hierarchy of ordinary differential difference equations, also known as delay-differential equations. Such a hierarchy appears to be the first of its kind in the literature. All possible reductions, under certain assumptions, are obtained. The Lax pair associated to this reduced hierarchy is obtained.
Cite
@article{arxiv.0906.2169,
title = {Direct delay reductions of the Toda hierarchy},
author = {Nalini Joshi and Paul E. Spicer},
journal= {arXiv preprint arXiv:0906.2169},
year = {2010}
}
Comments
11 pages