Darboux transformation for the Manin-Radul supersymmetric KdV equation

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. Sohton type solutions are constructed by dressing the vacuum and we present some relevant plots.