Darboux transformation for the Manin-Radul supersymmetric KdV equation

作者:Liu QP*; Manas M
来源:Physics Letters B, 1997, 394(3-4): 337-342.
DOI:10.1016/S0370-2693(97)00026-9

摘要

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.