Darboux transformation and explicit solutions for two integrable equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:380

Article

Zhaqilao¹  Qiao, Zhijun² 

[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China

[2] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78539 USA

关键词: Darboux transformation;    Explicit solution;    Integrable equations;    Solitons;   

DOI  :  10.1016/j.jmaa.2011.01.078

来源: Elsevier

【 摘 要 】

A new N-fold Darboux transformation for two integrable equations is constructed with the help of a gauge transformation for the spectral problem proposed by Qiao [Z.J. Qiao, Phys. Lett. A 192 (1994) 316-322]. By the Darboux transformation, explicit soliton and multi-soliton solutions for the two equations are obtained. In particular, soliton and complexiton solutions are shown through some figures. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free