Abstract
The Bäcklund transformations between the constrained dispersionless KP hierarchy (cdKPH) and the constrained dispersionless mKP hierarchy (cdmKPH) and between the dispersionless KP hierarchy with self-consistent sources (dKPHSCS) and the dispersionless mKP hierarchy with self-consistent sources (dmKPHSCS) are constructed. The auto-Bäcklund transformations for the cdmKPH and for the dmKPHSCS are also formulated.
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