467 citations · 2k across the 86 of their papers we have counts for
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Hamiltonian Structure of PI Hierarchy
Kanehisa Takasaki
The string equation of type may be thought of as a higher order analogue of the first Painlevé equation that corresponds to the case of . For , this equati…
Universal Whitham hierarchy, dispersionless Hirota equations and multi-component KP hierarchy
Kanehisa Takasaki, Takashi Takebe
The goal of this paper is to identify the universal Whitham hierarchy of genus zero with a dispersionless limit of the multi-component KP hierarchy. To this end, the multi-componen…
Dispersionless Hirota equations of two-component BKP hierarchy
Kanehisa Takasaki
The BKP hierarchy has a two-component analogue (the 2-BKP hierarchy). Dispersionless limit of this multi-component hierarchy is considered on the level of the -function. The so…
Radial Loewner equation and dispersionless cmKP hierarchy
Kanehisa Takasaki, Takashi Takebe
It has been shown that the dispersionless KP hierarchy (or the Benney hierarchy) is reduced to the chordal Löwner equation. We show that the radial Löwner equation also gives reduc…