dorsal/arxiv
View SchemaA Note on the Gauge Equivalence between the Manin-Radul and Laberge-Mathieu Super KdV Hierarchies
| Authors | Jiin-Chang Shaw, Ming-Hsien Tu |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9711005 |
| URL | https://arxiv.org/abs/solv-int/9711005 |
| DOI | 10.1088/0305-4470/31/20/017 |
| Journal | J. Phys. A31 (1998) 4805 |
Abstract
The gauge equivalence between the Manin-Radul and Laberge-Mathieu super KdV hierarchies is revisited. Apart from the Inami-Kanno transformation, we show that there is another gauge transformation which also possess the canonical property. We explore the relationship of these two gauge transformations from the Kupershmidt-Wilson theorem viewpoint and, as a by-product, obtain the Darboux-Backlund transformation for the Manin-Radul super KdV hierarchy. The geometrical intepretation of these transformations is also briefly discussed.
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"abstract": "The gauge equivalence between the Manin-Radul and Laberge-Mathieu super KdV\nhierarchies is revisited. Apart from the Inami-Kanno transformation, we show\nthat there is another gauge transformation which also possess the canonical\nproperty. We explore the relationship of these two gauge transformations from\nthe Kupershmidt-Wilson theorem viewpoint and, as a by-product, obtain the\nDarboux-Backlund transformation for the Manin-Radul super KdV hierarchy. The\ngeometrical intepretation of these transformations is also briefly discussed.",
"arxiv_id": "solv-int/9711005",
"authors": [
"Jiin-Chang Shaw",
"Ming-Hsien Tu"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1088/0305-4470/31/20/017",
"journal_ref": "J. Phys. A31 (1998) 4805",
"title": "A Note on the Gauge Equivalence between the Manin-Radul and Laberge-Mathieu Super KdV Hierarchies",
"url": "https://arxiv.org/abs/solv-int/9711005"
},
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