Darboux Transformation for the Manin-Radul Supersymmetric KdV equation
solv-int
2009-10-30 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
In this paper we present a vectorial Darboux transformation, in terms of ordinary determinants, for the supersymmetric extension of the Korteweg-de Vries equation proposed by Manin and Radul. It is shown how this transformation reduces to the Korteweg-de Vries equation. Soliton type solutions are constructed by dressing the vacuum and we present some relevant plots.
Keywords
Cite
@article{arxiv.solv-int/9701007,
title = {Darboux Transformation for the Manin-Radul Supersymmetric KdV equation},
author = {Q. P. Liu and M. Manas},
journal= {arXiv preprint arXiv:solv-int/9701007},
year = {2009}
}
Comments
14 pp, 2 figures, AMS-LaTeX, to appear in Phys. Lett. B