Crum Transformations and Wronskian Type Solutions for Supersymmetric KdV equation

Details Crum Transformations and Wronskian Type Solutions for Supersymmetric KdV equation Crum Transformations and Wronskian Type Solutions for Supersymmetric KdV equation

1997-01-10

arxiv.org/abs/solv-int/9701005v1

Phys.Lett.B396:133,1997

Physics

High Energy Physics

High Energy Physics - Theory

13 pp, AMS-LaTeX

Scientific paper

10.1016/S0370-2693(97)00134-2

Darboux transformation is reconsidered for the supersymmetric KdV system. By iterating the Darboux transformation, a supersymmetric extension of the Crum transformation is obtained for the Manin-Radul SKdV equation, in doing so one gets Wronskian superdeterminant representations for the solutions. Particular examples provide us explicit supersymmetric extensions, super solitons, of the standard soliton of the KdV equation. The KdV soliton appears as the body of the super soliton.

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