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

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

1998-06-11

arxiv.org/abs/solv-int/9806005v1

Phys. Lett. B436 (1998) 306-310

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX2e with AMSLaTeX and Babel packages

Scientific paper

10.1016/S0370-2693(98)00852-1

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.

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