Links between symmetry reduction and Hirota methods of the N=2 susy KdV equation

Abstract

We consider the resolution of the N=2 supersymmetric KdV equation with a=-2 (SKdVa=-2) from two approaches, the group invariant method (or symmetry reduction) and the Hirota formalism. A bilinear form of the SKdVa=-2 equation is constructed. Links between the two methods are established and new solutions are obtained from both approaches.

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