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

By Laurent Delisle and Véronique Hussin


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.Comment: 17 pages, 9 figure

Topics: Mathematical Physics, 35Q51, 35Q53
Year: 2011
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