467 citations · 964 across the 31 of their papers we have counts for
31 papers
Dispersionless version of the constrained Toda hierarchy and symmetric radial Löwner equation
Takashi Takebe, Anton Zabrodin
We study the dispersionless version of the recently introduced constrained Toda hierarchy. Like the Toda lattice itself, it admits three equivalent formulations: the formulation in…
Q-operators for higher spin eight vertex models with a rational anisotropy parameter
Takashi Takebe
Q-operators for generalised eight vertex models associated to higher spin representations of the Sklyanin algebra are constructed by Baxter's first method and Fabricius's method, w…
Q-operators for higher spin eight vertex models with an even number of sites
Takashi Takebe
We construct the Q-operator for generalised eight vertex models associated to higher spin representations of the Sklyanin algebra, following Baxter's 1973 paper. As an application,…
Dispersionless BKP Hierarchy and Quadrant Löwner Equation
Takashi Takebe
We show that -variable reduction of the dispersionless BKP hierarchy is described by a Löwner type equation for the quadrant.
An hbar-expansion of the Toda hierarchy: a recursive construction of solutions
Kanehisa Takasaki, Takashi Takebe
A construction of general solutions of the \hbar-dependent Toda hierarchy is presented. The construction is based on a Riemann-Hilbert problem for the pairs (L,M) and (\bar L,\bar…
hbar-Dependent KP hierarchy
Kanehisa Takasaki, Takashi Takebe
This is a summary of a recursive construction of solutions of the hbar-dependent KP hierarchy. We give recursion relations for the coefficients X_n of an hbar-expansion of the oper…