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Coupled Modified KP Hierarchy and Its Dispersionless Limit

2006; National Academy of Sciences of Ukraine; Linguagem: Inglês

10.3842/sigma.2006.072

1815-0659

Takashi Takebe, Lee-Peng Teo,

Nonlinear Photonic Systems

We define the coupled modified KP hierarchy and its dispersionless limit.This integrable hierarchy is a generalization of the "half" of the Toda lattice hierarchy as well as an extension of the mKP hierarchy.The solutions are parametrized by a fibered flag manifold.The dispersionless counterpart interpolates several versions of dispersionless mKP hierarchy.