Some types of solutions and generalized binary Darboux transformation for the mKP equation with self-consistent sources

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:366

Article

Tian, Shou-fu¹  Wang, Zhen¹  Zhang, Hong-qing¹ 

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

关键词: mKP equation with self-consistent sources (mKPESCSs);    Darboux transformation;    Soliton solutions;    Rational solutions;    Breather type solutions;    Exponential solutions;   

DOI  :  10.1016/j.jmaa.2010.01.021

来源: Elsevier

【 摘 要 】

In this paper, an rnKP equation with self-Consistent sources (mKPESCSs) is structured in the framework of the constrained mKP equation. Based on the conjugate Lax pairs, we construct the generalized binary Darboux transformation and the N-times repeated Darboux transformation with arbitrary functions at time t for the mKPESCSs which offers a non-auto-Backlund transformation between two mKPESCSs with different degrees of sources. With the help of these transformations, some new solutions for the mKPESCSs such as soliton solutions, rational solutions. breather type solutions and exponential solutions are found by taking the special initial solution for auxiliary linear problems and the special functions of t-time. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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