Coupled Modified KP Hierarchy and Its Dispersionless Limit

Details Coupled Modified KP Hierarchy and Its Dispersionless Limit Coupled Modified KP Hierarchy and Its Dispersionless Limit

2006-08-16

arxiv.org/abs/nlin/0608039v2

SIGMA 2 (2006), 072, 30 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Sym

Scientific paper

10.3842/SIGMA.2006.072

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.

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