On the Miura map between the dispersionless KP and dispersionless modified KP hierarchies
classification
solv-int
nlin.SI
keywords
dispersionlessmiuramodifiedhierarchiesbi-hamiltoniancanonicalconstructiongiven
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We investigate the Miura map between the dispersionless KP and dispersionless modified KP hierarchies. We show that the Miura map is canonical with respect to their bi-Hamiltonian structures. Moreover, inspired by the works of Takasaki and Takebe, the twistor construction of solution structure for the dispersionless modified KP hierarchy is given.
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