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Extension of the bilinear formalism to supersymmetric KdV-type equations

A. S. Carstea
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Abstract

Extending the gauge-invariance principle for τfunctions of the standard bilinear formalism to the supersymmetric case, we define N=1 supersymmetric Hirota operators. Using them, we bilinearize SUSY KdV-type equations (KdV, Sawada-Kotera, Hirota-Satsuma). The solutions for multiple collisions of super-solitons and extension to SUSY sine-Gordon are also discussed.

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A. S. Carstea. 1998-12-21. Extension of the bilinear formalism to supersymmetric KdV-type equations. https://arxiv.org/abs/solv-int/9812022

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