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arxiv: 1509.03137 · v1 · pith:FIF7GPZPnew · submitted 2015-09-10 · 🧮 math-ph · hep-th· math.MP

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

classification 🧮 math-ph hep-thmath.MP
keywords bilinearhirotasupersymmetricequationextensionformalismrepresentationapproach
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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.

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