Bäcklund transformations for the constrained dispersionless hierarchies and dispersionless hierarchies with self-consistent sources

Details Bäcklund transformations for the constrained dispersionless hierarchies and dispersionless hierarchies with self-consistent sources Bäcklund transformations for the constrained dispersionless hierarchies and dispersionless hierarchies with self-consistent sources

2006-06-26

arxiv.org/abs/nlin/0606060v1

Inverse Problems, 22 (2006), 1-11

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages

Scientific paper

10.1088/0266-5611/22/3/008

The B\"{a}cklund 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\"{a}cklund transformations for the cdmKPH and for the dmKPHSCS are also formulated.

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