Department of Computer Science
A new Lie algebra and soliton solutions, Bäcklund transformation of soliton equations
A new Lie algebra is introduced for which a soliton hierarchy of nonlinear evolution equations is derived from zero curvature equations. A reduced equation from the hierarchy is obtained whose exact solutions are produced. Again using the Lie algebra and the corresponding loop algebra, a type of nonlinear soliton equations with exponential terms in potential functions are given. The Bäcklund transformation among them is also generated. © 2009 Elsevier Ltd. All rights reserved.
Source Publication Title
Chaos, Solitons and Fractals
Tam, Hon-Wah, and Yufeng Zhang. "A new Lie algebra and soliton solutions, Bäcklund transformation of soliton equations." Chaos, Solitons and Fractals 42.3 (2009): 1670-1676.