Solitons Solutions for the N=2 Supersymmetric KdV Equation

Abstract

The N=2 supersymmetric KdV equation of Inami and Kanno is bilinearized employing the Hirota method and the existence of $N$ soliton solutions is demonstrated. The exact form of the solutions are explicitly obtained and an interesting symmetry of the equations of motion is observed.

10 pages, no figures

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• A Class of Soliton Solutions for the N=2 Super mKdV/Sinh-Gordon Hierarchy
• Hirota's virtual multi-soliton solutions of N=2 supersymmetric Korteweg-de Vries equations
• New solution of the $\mathcal{N}=2$ Supersymmetric KdV equation via Hirota methods
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• A N=2 extension of the Hirota bilinear formalism and the supersymmetric KdV equation
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