59 citations · 895 across the 77 of their papers we have counts for
4 papers · 1 filter
Coupled Modified KP Hierarchy and Its Dispersionless Limit
Takashi Takebe, Lee-Peng Teo
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…
Fay-like identities of the Toda Lattice Hierarchy and its dispersionless limit
Lee-Peng Teo
In this paper, we derive the Fay-like identities of tau function for the Toda lattice hierarchy from the bilinear identity. We prove that the Fay-like identities are equivalent to…
Loewner equations and dispersionless hierarchies
Kanehisa Takasaki, Takashi Takebe
Reduction of a dispersionless type integrable system (dcmKP hierarchy) to the radial Loewner equation is presented.
On dispersionless coupled modified KP hierarchy
Lee-Peng Teo
We define and study dispersionless coupled modified KP hierarchy, which incorporates two different versions of dispersionless modified KP hierarchies.