Darboux Transformation for the Manin-Radul Supersymmetric KdV equation

Details Darboux Transformation for the Manin-Radul Supersymmetric KdV equation Darboux Transformation for the Manin-Radul Supersymmetric KdV equation

1997-01-10

arxiv.org/abs/solv-int/9701007v1

Phys. Lett. B, 394 (1997) 337

Physics

High Energy Physics

High Energy Physics - Theory

14 pp, 2 figures, AMS-LaTeX, to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(97)00026-9

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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