dorsal/arxiv
View SchemaDarboux Transformation for the Manin-Radul Supersymmetric KdV equation
| Authors | Q. P. Liu, M. Manas |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9701007 |
| URL | https://arxiv.org/abs/solv-int/9701007 |
| DOI | 10.1016/S0370-2693(97)00026-9 |
| Journal | Phys. Lett. B, 394 (1997) 337 |
Abstract
In this paper we present a vectorial Darboux transformation, in terms of ordinary determinants, for the supersymmetric extension of the Korteweg-de Vries equation proposed by Manin and Radul. It is shown how this transformation reduces to the Korteweg-de Vries equation. Soliton type solutions are constructed by dressing the vacuum and we present some relevant plots.
{
"annotation_id": "2fa90bfb-adaa-4077-9e27-7f254f83f3b4",
"date_created": "2026-03-02T18:02:51.355000Z",
"date_modified": "2026-03-02T18:02:51.355000Z",
"file_hash": "94732d18db0c3cf9abb24fa8e0ca78fd3eeed16906684d926c3a7574a0a24716",
"private": false,
"record": {
"abstract": "In this paper we present a vectorial Darboux transformation, in terms of\nordinary determinants, for the supersymmetric extension of the Korteweg-de\nVries equation proposed by Manin and Radul. It is shown how this transformation\nreduces to the Korteweg-de Vries equation. Soliton type solutions are\nconstructed by dressing the vacuum and we present some relevant plots.",
"arxiv_id": "solv-int/9701007",
"authors": [
"Q. P. Liu",
"M. Manas"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1016/S0370-2693(97)00026-9",
"journal_ref": "Phys. Lett. B, 394 (1997) 337",
"title": "Darboux Transformation for the Manin-Radul Supersymmetric KdV equation",
"url": "https://arxiv.org/abs/solv-int/9701007"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0b814e94-bfd3-4b1a-96eb-9595fd7248ca",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}