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arxiv: nlin/0606060 · v1 · submitted 2006-06-26 · 🌊 nlin.SI

B\"{a}cklund transformations for the constrained dispersionless hierarchies and dispersionless hierarchies with self-consistent sources

classification 🌊 nlin.SI
keywords dispersionlesscklundconstrainedhieararchyself-consistentsourcestransformationscdmkph
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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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