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2000 Nonlinearity 13 1645-1656 doi: 10.1088/0951-7715/13/5/312
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Recommended by A Kupiainen
Abstract.
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.
Mathematics Subject Classification: 37K10, 35Q51
Print publication: Issue 5 (September 2000)| Post to CiteUlike | | Post to Connotea | | Post to Bibsonomy |
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