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