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On the Miura map between the dispersionless KP and dispersionless modified KP hierarchies

Jen-Hsu Chang·Ming-Hsien Tu
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Abstract

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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Jen-Hsu Chang, Ming-Hsien Tu. 1999-12-29. On the Miura map between the dispersionless KP and dispersionless modified KP hierarchies. https://doi.org/10.1063/1.533416

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