Crum Transformations and Wronskian Type Solutions for Supersymmetric KdV equation
solv-int
2008-11-26 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
Darboux transformation is reconsidered for the supersymmetric KdV system. By iterating the Darboux transformation, a supersymmetric extension of the Crum transformation is obtained for the Manin-Radul SKdV equation, in doing so one gets Wronskian superdeterminant representations for the solutions. Particular examples provide us explicit supersymmetric extensions, super solitons, of the standard soliton of the KdV equation. The KdV soliton appears as the body of the super soliton.
Keywords
Cite
@article{arxiv.solv-int/9701005,
title = {Crum Transformations and Wronskian Type Solutions for Supersymmetric KdV equation},
author = {Q. P. Liu and M. Manas},
journal= {arXiv preprint arXiv:solv-int/9701005},
year = {2008}
}
Comments
13 pp, AMS-LaTeX