A new extended dispersionless mKP hierarchy and hodograph solution (Q434821)

A new extended dispersionless mKP hierarchy (exdmKPH) is constructed to present two types of dispersionless mKP equations with self-consistent sources and their associated conservation equations. Two reductions of the resulting hierarchy are used to generate 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. The article is well-written and provides a good piece of research on extended soliton hierarchies.