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Soliton solutions for two nonlinear partial differential equations using a Darboux transformation of the Lax pairs.

作者信息

Lin Ji, Ren Bo, Li Hua-mei, Li Yi-Shen

机构信息

Department of Physics, Zhejiang Normal University, Jinhua, China.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Mar;77(3 Pt 2):036605. doi: 10.1103/PhysRevE.77.036605. Epub 2008 Mar 7.

DOI:10.1103/PhysRevE.77.036605
PMID:18517541
Abstract

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.

摘要

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