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Physics  1997 

Darboux Transformation for the Manin-Radul Supersymmetric KdV equation

DOI: 10.1016/S0370-2693(97)00026-9

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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.

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