Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 646-662 |
| Number of pages | 17 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 366 |
| Issue number | 2 |
| DOIs | |
| State | Published - 15 Jun 2010 |
| Externally published | Yes |
Keywords
- Breather type solutions
- Darboux transformation
- Exponential solutions
- Rational solutions
- Soliton solutions
- mKP equation with self-consistent sources (mKPESCSs)
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