Hierarchy of Higher Dimensional Integrable System
solv-int
2007-05-23 v1 Exactly Solvable and Integrable Systems
Abstract
Integrable equations in () dimensions have their own higher order integrable equations, like the KdV, mKdV and NLS hierarchies etc. In this paper we consider whether integrable equations in () dimensions have also the analogous hierarchies to those in () dimensions. Explicitly is discussed the Bogoyavlenskii-Schiff(BS) equation. For the BS hierarchy, there appears an ambiguity in the Painlev\'e test. Nevertheless, it may be concluded that the BS hierarchy is integrable.
Cite
@article{arxiv.solv-int/9802005,
title = {Hierarchy of Higher Dimensional Integrable System},
author = {Yu Song-Ju and Kouichi Toda and Takeshi Fukuyama},
journal= {arXiv preprint arXiv:solv-int/9802005},
year = {2007}
}
Comments
10 pages, uses ioplppt.sty