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New solution of the \(\mathcal{N}=2\) Supersymmetric KdV equation via Hirota methods
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2012-02-09
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Abstract
We consider the resolution of the \(\mathcal{N}=2\) supersymmetric KdV equation with \(a=-2\) (\(SKdV_{a=-2}\)) from the Hirota formalism. For the first time, a bilinear form of the \(SKdV_{a=-2}\) equation is constructed. We construct multisoliton solutions and rational similarity solutions.
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