dorsal/arxiv
View SchemaBinary Darboux-Backlund Transformations for the Manin-Radul Super KdV Hierarchy
| Authors | Jiin-Chang Shaw, Ming-Hsien Tu |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9710005 |
| URL | https://arxiv.org/abs/solv-int/9710005 |
| DOI | 10.1063/1.532536 |
| Journal | J. Math. Phys. 39 (1998) 4773 |
Abstract
We construct the supersymmetric extensions of the Darboux-Backlund transformations (DBTs) for the Manin-Radul super KdV hierarchy using the super-pseudo-differential operators. The elementary DBTs are triggered by the gauge operators constructed from the wave functions and adjoint wave functions of the hierarchy. Iterating these elementary DBTs, we obtain not only Wronskian type but also binary type superdeterminant representations of the solutions.
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"abstract": "We construct the supersymmetric extensions of the Darboux-Backlund\ntransformations (DBTs) for the Manin-Radul super KdV hierarchy using the\nsuper-pseudo-differential operators. The elementary DBTs are triggered by the\ngauge operators constructed from the wave functions and adjoint wave functions\nof the hierarchy. Iterating these elementary DBTs, we obtain not only Wronskian\ntype but also binary type superdeterminant representations of the solutions.",
"arxiv_id": "solv-int/9710005",
"authors": [
"Jiin-Chang Shaw",
"Ming-Hsien Tu"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1063/1.532536",
"journal_ref": "J. Math. Phys. 39 (1998) 4773",
"title": "Binary Darboux-Backlund Transformations for the Manin-Radul Super KdV Hierarchy",
"url": "https://arxiv.org/abs/solv-int/9710005"
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