153 citations · 342 across the 19 of their papers we have counts for
19 papers
Solutions to the KP hierarchy with an elliptic background
Saburo Kakei
A class of "elliptic soliton" solutions of the Kadomtsev-Petviashvili hierarchy, which includes a determinantal solution of Li and Zhang, is described in terms of pseudo-differenti…
Linearization of the box-ball system: an elementary approach
Saburo Kakei, Jonathan J. C. Nimmo, Satoshi Tsujimoto +1
Kuniba, Okado, Takagi and Yamada have found that the time-evolution of the Takahashi-Satsuma box-ball system can be linearized by considering rigged configurations associated with…
Hirota bilinear approach to GUE, NLS, and Painlevé IV
Saburo Kakei
Tracy and Widom showed that the level spacing function of the Gaussian unitary ensemble is related to a particular solution of the fourth Painlevé equation. We reconsider this prob…
Toda lattice hierarchy and Goldstein-Petrich flows for plane curves
Kenji Kajiwara, Saburo Kakei
A relation between the Goldstein-Petrich hierarchy for plane curves and the Toda lattice hierarchy is investigated. A representation formula for plane curves is given in terms of a…
Yang-Baxter Maps from the Discrete BKP Equation
Saburo Kakei, Jonathan J. C. Nimmo, Ralph Willox
We construct rational and piecewise-linear Yang-Baxter maps for a general N-reduction of the discrete BKP equation.
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
Saburo Kakei, Michitomo Nishizawa, Yoshihisa Saito +1
We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra . The main ingredient is a special class of the shifted…