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arxiv: nlin/0212002 · v2 · submitted 2002-12-02 · 🌊 nlin.SI

Nonlinear superposition formula for N=1 supersymmetric KdV Equation

classification 🌊 nlin.SI
keywords equationsupersymmetricformulanonlinearsuperpositionallowscarsteacklund
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In this paper, we derive a B\"{a}cklund transformation for the supersymmetric Kortweg-de Vries equation. We also construct a nonlinear superposition formula, which allows us to rebuild systematically for the supersymmetric KdV equation the soliton solutions of Carstea, Ramani and Grammaticos.

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