Takashi Takebe, Lee-Peng Teo, “Coupled Modified KP Hierarchy and Its Dispersionless Limit”, SIGMA, 2006, Volume 2,072, 30 pp.

This article is cited in 15 papers

Coupled Modified KP Hierarchy and Its Dispersionless Limit

Takashi Takebe^a, Lee-Peng Teo^b

^a Department of Mathematics, Ochanomizu University, Otsuka 2-1-1, Bunkyo-ku, Tokyo, 112-8610, Japan
^b Faculty of Information Technology, Multimedia University, Jalan Multimedia, Cyberjaya, 63100, Selangor Darul Ehsan, Malaysia

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.

MSC: 37K10

Received: August 18, 2006; in final form October 3, 2006; Published online October 31, 2006

Language: English

DOI: 10.3842/SIGMA.2006.072