A S Carstea 2000 Nonlinearity 13 1645 doi:10.1088/0951-7715/13/5/312
Extension of the bilinear formalism to supersymmetric KdV-type equations
A S Carstea
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Extending the gauge-invariance principle for τ functions of the standard bilinear formalism to the supersymmetric case, we define 
= 1 supersymmetric Hirota operators. Using them, we bilinearize SUSY KdV-type equations (KdV, Sawada-Kotera-Ramani). The supersoliton solutions and extension to SUSY sine-Gordon are also discussed. It is shown that the Lax-integrable SUSY KdV of the Mathieu equation does not possess an N-supersoliton solution for N≥3 for arbitrary parameters.The N-supersoliton solution only exists for a particular choice of parameters.
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Issue 5 (September 2000)
Received 23 September 1999, in final form 17 May 2000
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Extension of the bilinear formalism to supersymmetric KdV-type equations
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