Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2004-12-26
Nonlinear Sciences
Exactly Solvable and Integrable Systems
23 pages, no figures. to appeare in Physica A
Scientific paper
10.1016/j.physa.2005.02.043
The mKP equation with self-consistent sources (mKPESCS) is treated in the framework of the constrained mKP hierarchy. We introduce a new constrained mKP hierarchy which may be viewed as the stationary hierarchy of the mKP hierarchy with self-consistent sources. This offers a natural way to obtain the Lax representation for the mKPESCS. Based on the conjugate Lax pairs, we construct the generalized Darboux transformation with arbitrary functions in time $t$ for the mKPESCS which, in contrast with the Darboux transformation for the mKP equation, provides a non-auto-B\"{a}cklund transformation between two mKPESCSs with different degrees. The formula for $n$-times repeated generalized Darboux transformation is proposed and enables us to find the rational solutions (including the lump solutions), soliton solutions and the solutions of breather type of the mKPESCS.
Xiao Ting
Zeng Yunbo
No associations
LandOfFree
A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-24177