Soliton solutions for two nonlinear partial differential equations using a Darboux transformation of the Lax pairs.
Two Darboux transformations of the (1+1) -dimensional Wu-Zhang (WZ) equation and the two-component Camassa-Holm (2CH) system with the reciprocal transformation are obtained. One-loop and two-loop soliton solutions and multisoliton(like) solutions of the 2CH system are obtained by using the Darboux transformations and selecting different seed solutions of the corresponding equations. The bidirectional soliton solutions of the (1+1) -dimensional WZ equation are also obtained. The interactions of two-soliton head-on and overtaking collisions for the WZ equation and the evolution of the two-soliton(-like) solutions for the 2CH system are studied.
Department of Physics, Zhejiang Normal University, Jinhua, China.
Ji
J
Lin
Bo
B
Ren
Hua-mei
HM
Li
Yi-Shen
YS
Li