The relation between the Toda hierarchy and the KdV hierarchy
solv-int
2009-10-31 v1 Exactly Solvable and Integrable Systems
Abstract
Under three relations connecting the field variables of Toda flows and that of KdV flows, we present three new sequences of combination of the equations in the Toda hierarchy which have the KdV hierarchy as a continuous limit. The relation between the Poisson structures of the KdV hierarchy and the Toda hierarchy in continuous limit is also studied.
Keywords
Cite
@article{arxiv.solv-int/9812029,
title = {The relation between the Toda hierarchy and the KdV hierarchy},
author = {Yunbo Zeng and Runliang Lin and Xin Cao},
journal= {arXiv preprint arXiv:solv-int/9812029},
year = {2009}
}
Comments
11 pages, Tex, no figures, to be published in Physics Letters A