Посилання:Coupled Modified KP Hierarchy and Its Dispersionless Limit / T. Takebe, Lee-Peng Teo // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 23 назв. — англ.
Підтримка:This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. The work of T. Takebe is supported in part by JSPS grant 18540210. He is also grateful to Saburo Kakei and Kanehisa Takasaki for their interest and comments. The work of L.P. Teo is supported in part by MMU funding PR/2006/0590. She would also like to thank Academia Sinica of Taiwan for its hospitality during her stay, when part of this work was done.
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.