Some types of solutions and generalized binary Darboux transformation for the mKP equation with self-consistent sources |
| |
Authors: | Shou-fu Tian Zhen Wang Hong-qing Zhang |
| |
Affiliation: | School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, PR China |
| |
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. |
| |
Keywords: | mKP equation with self-consistent sources (mKPESCSs) Darboux transformation Soliton solutions Rational solutions Breather type solutions Exponential solutions |
本文献已被 ScienceDirect 等数据库收录! |