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A N=2 extension of the Hirota bilinear formalism and the supersymmetric KdV equation

We present a bilinear Hirota representation of the N=2 supersymmetric extension of the Korteweg-de Vries equation. This representation is deduced using binary Bell polynomials, hierarchies and fermionic limits. We, also, propose a new approach for the generalisation of the Hirota bilinear formalism in the N=2 supersymmetric context.

preprint2015arXivOpen access
Laurent Delisle
math-phmath.MPhep-th
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Laurent Delisle

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