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arxiv: 1104.0590 · v1 · pith:PK7GBYDTnew · submitted 2011-04-04 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords equationapproacheshirotalinksmethodsreductionskdvsymmetry
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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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