Nonlinear superposition formula for N=1 supersymmetric KdV Equation

Details Nonlinear superposition formula for N=1 supersymmetric KdV Equation Nonlinear superposition formula for N=1 supersymmetric KdV Equation

2002-12-02

arxiv.org/abs/nlin/0212002v2

Physics Letters A 325 (2004) 139-143

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages, LaTeX, everthing is reformed into super fields

Scientific paper

10.1016/j.physleta.2004.03.047

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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