dorsal/arxiv
View SchemaOn Darboux-B\"acklund Transformations for the Q-Deformed Korteweg-de Vries Hierarchy
| Authors | Ming-Hsien Tu, Jiin-Chang Shaw, Chin-Rong Lee |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9811004 |
| URL | https://arxiv.org/abs/solv-int/9811004 |
| Journal | Lett. Math. Phys., 49(1): 33-45, July 1999 |
Abstract
We study Darboux-B\"acklund transformations (DBTs) for the $q$-deformed Korteweg-de Vries hierarchy by using the $q$-deformed pseudodifferential operators. We identify the elementary DBTs which are triggered by the gauge operators constructed from the (adjoint) wave functions of the hierarchy. Iterating these elementary DBTs we obtain not only $q$-deformed Wronskian-type but also binary-type representations of the tau-function to the hierarchy.
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"abstract": "We study Darboux-B\\\"acklund transformations (DBTs) for the $q$-deformed\nKorteweg-de Vries hierarchy by using the $q$-deformed pseudodifferential\noperators. We identify the elementary DBTs which are triggered by the gauge\noperators constructed from the (adjoint) wave functions of the hierarchy.\nIterating these elementary DBTs we obtain not only $q$-deformed Wronskian-type\nbut also binary-type representations of the tau-function to the hierarchy.",
"arxiv_id": "solv-int/9811004",
"authors": [
"Ming-Hsien Tu",
"Jiin-Chang Shaw",
"Chin-Rong Lee"
],
"categories": [
"solv-int",
"nlin.SI"
],
"journal_ref": "Lett. Math. Phys., 49(1): 33-45, July 1999",
"title": "On Darboux-B\\\"acklund Transformations for the Q-Deformed Korteweg-de Vries Hierarchy",
"url": "https://arxiv.org/abs/solv-int/9811004"
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