Department of Computer Science
An integrable hierarchy and Darboux transformations, bilinear Backlund transformations of a reduced equation
A new integrable hierarchy of evolution equations is obtained by making use of a Lie algebra and Tu-Ma scheme, from which a new generalized Broer-Kaup (gBK) equation is produced. Then two kinds of Darboux transformations, the bilinear presentation, the bilinear Bäcklund transformation and the new Lax pair of the gBK equation are generated, respectively, by employing the Bell polynomials. © 2012 Elsevier Inc. All rights reserved.
Bäcklund transformation, Bell polynomials, Integrable hierarchy
Source Publication Title
Applied Mathematics and Computation
Zhang, Yufeng, Zhong Han, and Hon-Wah Tam. "An integrable hierarchy and Darboux transformations, bilinear Backlund transformations of a reduced equation." Applied Mathematics and Computation 219.11 (2013): 5837-5848.