dorsal/arxiv
View SchemaCrum Transformations and Wronskian Type Solutions for Supersymmetric KdV equation
| Authors | Q. P. Liu, M. Manas |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9701005 |
| URL | https://arxiv.org/abs/solv-int/9701005 |
| DOI | 10.1016/S0370-2693(97)00134-2 |
| Journal | Phys.Lett.B396:133,1997 |
Abstract
Darboux transformation is reconsidered for the supersymmetric KdV system. By iterating the Darboux transformation, a supersymmetric extension of the Crum transformation is obtained for the Manin-Radul SKdV equation, in doing so one gets Wronskian superdeterminant representations for the solutions. Particular examples provide us explicit supersymmetric extensions, super solitons, of the standard soliton of the KdV equation. The KdV soliton appears as the body of the super soliton.
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"abstract": "Darboux transformation is reconsidered for the supersymmetric KdV system. By\niterating the Darboux transformation, a supersymmetric extension of the Crum\ntransformation is obtained for the Manin-Radul SKdV equation, in doing so one\ngets Wronskian superdeterminant representations for the solutions. Particular\nexamples provide us explicit supersymmetric extensions, super solitons, of the\nstandard soliton of the KdV equation. The KdV soliton appears as the body of\nthe super soliton.",
"arxiv_id": "solv-int/9701005",
"authors": [
"Q. P. Liu",
"M. Manas"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1016/S0370-2693(97)00134-2",
"journal_ref": "Phys.Lett.B396:133,1997",
"title": "Crum Transformations and Wronskian Type Solutions for Supersymmetric KdV equation",
"url": "https://arxiv.org/abs/solv-int/9701005"
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