Hirota bilinear formalism and Supersymmetry

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dc.creatorCarstea, A. S.
dc.date2000-06-21
dc.date.accessioned2026-07-07T05:32:54Z
dc.date.available2026-07-07T05:32:54Z
dc.descriptionExtending the gauge-invariance principle for $τ$ functions of the standard bilinear formalism to the supersymmetric case, we define ${\cal N}=1$ supersymmetric Hirota bilinear operators. Using them we bilinearize supersymmetric nonlinear evolution equations. The super-soliton solutions are discussed. As a quite strange paradox it is shown that the Lax integrable supersymmetric KdV of Manin-Radul-Mathieu equation does not possesses N super-soliton solution for $N\geq 3$ for arbitrary parameters. Only for a particular choice of them the N super-soliton solution exists.
dc.description22 pages, no figures, to appear in Nonlinearity
dc.identifierhttps://arxiv.org/abs/nlin/0006032
dc.identifierhttp://arxiv.org/abs/nlin/0006032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79822
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleHirota bilinear formalism and Supersymmetry
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