On Darboux-Bäcklund Transformations for the Q-Deformed Korteweg-de Vries Hierarchy

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dc.creatorTu, Ming-Hsien
dc.creatorShaw, Jiin-Chang
dc.creatorLee, Chin-Rong
dc.date1998-11-06
dc.date.accessioned2026-07-07T06:17:41Z
dc.date.available2026-07-07T06:17:41Z
dc.descriptionWe study Darboux-Bäcklund 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.
dc.description12 pages, Revtex, no figures
dc.identifierhttps://arxiv.org/abs/solv-int/9811004
dc.identifierhttp://arxiv.org/abs/solv-int/9811004
dc.identifierLett. Math. Phys., 49(1): 33-45, July 1999
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94467
dc.subjectExactly Solvable and Integrable Systems
dc.titleOn Darboux-Bäcklund Transformations for the Q-Deformed Korteweg-de Vries Hierarchy
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