On Darboux-B\"acklund Transformations for the Q-Deformed Korteweg-de Vries Hierarchy
solv-int
2007-05-23 v1 Exactly Solvable and Integrable Systems
Abstract
We study Darboux-B\"acklund transformations (DBTs) for the -deformed Korteweg-de Vries hierarchy by using the -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 -deformed Wronskian-type but also binary-type representations of the tau-function to the hierarchy.
Keywords
Cite
@article{arxiv.solv-int/9811004,
title = {On Darboux-B\"acklund Transformations for the Q-Deformed Korteweg-de Vries Hierarchy},
author = {Ming-Hsien Tu and Jiin-Chang Shaw and Chin-Rong Lee},
journal= {arXiv preprint arXiv:solv-int/9811004},
year = {2007}
}
Comments
12 pages, Revtex, no figures