Extension of the bilinear formalism to supersymmetric KdV-type equations

Details Extension of the bilinear formalism to supersymmetric KdV-type equations Extension of the bilinear formalism to supersymmetric KdV-type equations

1998-12-21

arxiv.org/abs/solv-int/9812022v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, revtex, no figures, some corrected typos

Scientific paper

Extending the gauge-invariance principle for \tau functions 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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