dorsal/arxiv
View SchemaPfaffian Solutions for the Manin-Radul-Mathieu SUSY KdV and SUSY sine-Gordon Equations
| Authors | Q. P. Liu, Manuel Manas |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9806005 |
| URL | https://arxiv.org/abs/solv-int/9806005 |
| DOI | 10.1016/S0370-2693(98)00852-1 |
| Journal | Phys. Lett. B436 (1998) 306-310 |
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.
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"abstract": "We reduce the vectorial binary Darboux transformation for the Manin-Radul\nsupersymmetric KdV system in such a way that it preserves the\nManin-Radul-Mathieu supersymmetric KdV equation reduction. Expressions in terms\nof bosonic Pfaffians are provided for transformed solutions and wave functions.\nWe also consider the implications of these results for the supersymmetric\nsine-Gordon equation.",
"arxiv_id": "solv-int/9806005",
"authors": [
"Q. P. Liu",
"Manuel Manas"
],
"categories": [
"solv-int",
"hep-th",
"math-ph",
"math.MP",
"nlin.SI"
],
"doi": "10.1016/S0370-2693(98)00852-1",
"journal_ref": "Phys. Lett. B436 (1998) 306-310",
"title": "Pfaffian Solutions for the Manin-Radul-Mathieu SUSY KdV and SUSY sine-Gordon Equations",
"url": "https://arxiv.org/abs/solv-int/9806005"
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