Coupled Modified KP Hierarchy and Its Dispersionless Limit

Abstract

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.

Keywords

• cmKP hierarchy
• fibered flag manifold
• dcmKP hierarchy