Nonlinear superposition formula for N=1 supersymmetric KdV Equation

Abstract

In this paper, we derive a Bäcklund 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.

6 pages, LaTeX, everthing is reformed into super fields

References in corpus (1)

• Darboux Transformation for the Manin-Radul Supersymmetric KdV equation

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• Bilinear Approach to N=2 Supersymmetric KdV equations
• Supersymmetric KdV equation: Darboux transformation and discrete systems
• Permutability of Backlund Transformation for N=1 Supersymmetric Sinh-Gordon
• Interaction solutions for supersymmetric mKdV-B equation
• Bäcklund-Darboux Transformations and Discretizations of $N=2a=-2$ Supersymmetric KdV Equation
• Permutability of Backlund Transformations for N=2 Supersymmetric Sine-Gordon