dorsal/arxiv
View SchemaThe Davey Stewartson system and the B\"{a}cklund Transformations
| Authors | Masato Hisakado |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9804009 |
| URL | https://arxiv.org/abs/solv-int/9804009 |
| DOI | 10.1143/JPSJ.67.3038 |
Abstract
We consider the (coupled) Davey-Stewartson (DS) system and its B\"{a}cklund transformations (BT). Relations among the DS system, the double Kadomtsev-Petviashvili (KP) system and the Ablowitz-Ladik hierarchy (ALH) are established. The DS hierarchy and the double KP system are equivalent. The ALH is the BT of the DS system in a certain reduction. {From} the BT of coupled DS system we can obtain new coupled derivative nonlinear Schr\"{o}dinger equations.
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"abstract": "We consider the (coupled) Davey-Stewartson (DS) system and its B\\\"{a}cklund\ntransformations (BT). Relations among the DS system, the double\nKadomtsev-Petviashvili (KP) system and the Ablowitz-Ladik hierarchy (ALH) are\nestablished. The DS hierarchy and the double KP system are equivalent. The ALH\nis the BT of the DS system in a certain reduction. {From} the BT of coupled DS\nsystem we can obtain new coupled derivative nonlinear Schr\\\"{o}dinger\nequations.",
"arxiv_id": "solv-int/9804009",
"authors": [
"Masato Hisakado"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1143/JPSJ.67.3038",
"title": "The Davey Stewartson system and the B\\\"{a}cklund Transformations",
"url": "https://arxiv.org/abs/solv-int/9804009"
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