Pfaffian Solutions for the Manin-Radul-Mathieu SUSY KdV and SUSY sine-Gordon Equations

Abstract

We reduce the vectorial binary Darboux transformation for the Manin-Radul supersymmetric KdV system in such a way that it preserves the Manin-Radul-Mathieu supersymmetric KdV equation reduction. Expressions in terms of bosonic Pfaffians are provided for transformed solutions and wave functions. We also consider the implications of these results for the supersymmetric sine-Gordon equation.

10 pages, LaTeX2e with AMSLaTeX and Babel packages

References in corpus (3)

• Darboux Transformation for the Manin-Radul Supersymmetric KdV equation
• Crum Transformations and Wronskian Type Solutions for Supersymmetric KdV equation
• Darboux Transformations for SUSY Integrable Systems

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• On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces
• Localised and nonlocalised structures in nonlinear lattices with fermions
• Supersymmetric versions of the equations of conformally parametrized surfaces
• Supersymmetric versions of the Fokas-Gel'fand formula for immersion
• On geometric aspects of the SUSY Fokas-Gel'fand immersion formula