Extension of the bilinear formalism to supersymmetric KdV-type equations

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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.
11 pages, revtex, no figures, some corrected typos

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/94482

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9812022
 http://arxiv.org/abs/solv-int/9812022

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arXiv