Nonlinear superposition formula for N=1 supersymmetric KdV Equation

Abstract

In this paper, we derive a B\"acklund 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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