Some types of solutions and generalized binary Darboux transformation for the mKP equation with self-consistent sources
In: Journal of mathematical analysis and applications, Jg. 366 (2010), Heft 2, S. 646-662
Online
academicJournal
- print, 36 ref
In this paper, an mKP 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-Bäcklund 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.
Titel: |
Some types of solutions and generalized binary Darboux transformation for the mKP equation with self-consistent sources
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Autor/in / Beteiligte Person: | TIAN, Shou-Fu ; ZHEN, WANG ; ZHANG, Hong-Qing |
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Zeitschrift: | Journal of mathematical analysis and applications, Jg. 366 (2010), Heft 2, S. 646-662 |
Veröffentlichung: | Amsterdam: Elsevier, 2010 |
Medientyp: | academicJournal |
Umfang: | print, 36 ref |
ISSN: | 0022-247X (print) |
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