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

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

2011-04-04

arxiv.org/abs/1104.0590v1

Physics

Mathematical Physics

17 pages, 9 figures

Scientific paper

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

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