New Darboux Transformation for Hirota-Satsuma coupled KdV System
Exactly Solvable and Integrable Systems
2015-06-26 v1
Abstract
A new Darboux transformation is presented for the Hirota-Satsuma coupled KdV system. It is shown that this Darboux transformation can be constructed by means of two methods: Painlev\'{e} analysis and reduction of a binary Darboux transformation. By iteration of the Darboux transformation, the Grammian type solutions are found for the coupled KdV system.
Keywords
Cite
@article{arxiv.nlin/0204018,
title = {New Darboux Transformation for Hirota-Satsuma coupled KdV System},
author = {Heng Chun Hu and Q. P. Liu},
journal= {arXiv preprint arXiv:nlin/0204018},
year = {2015}
}
Comments
LaTeX 2.09, 10 pages