| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 758373 | Communications in Nonlinear Science and Numerical Simulation | 2012 | 10 Pages |
In this article, a new extended dispersionless mKP hierarchy (exdmKPH) is constructed to obtain two types of dispersionless mKP equations with self-consistent sources (dmKPSCS) and their associated conservation equations. Two reductions of this hierarchy are used to get two types of the corresponding dispersionless mKdV equations with self-consistent sources (dmKdVSCS). A hodograph solution for the first type of dmKdVSCS and Bäcklund transformation between the extended dispersionless KP hierarchy (exdKPH) and exdmKPH are also given.
► A new exdmKPH is constructed. ► The exdmKPH provides an effective way to find two types of dmKPSCS and their associated conservation equations. ► Two reductions of this hierarchy are also studied to get two types of dmKdVSCS. ► A hodograph solution for the first type of dmKdVSCS is obtained. ► Bäcklund transformation between exdKPH and exdmKPH is also given.
