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

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

1999-12-29

arxiv.org/abs/solv-int/9912016v1

J. Math. Phys. 41 (2000) 5391-5406

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages, Latex, no figures

Scientific paper

10.1063/1.533416

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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