Bäcklund transformations for the constrained dispersionless hierarchies and dispersionless hierarchies with self-consistent sources
Ting Xiao, Yunbo Zeng
Abstract
The Bäcklund 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-Bäcklund transformations for the cdmKPH and for the dmKPHSCS are also formulated.
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