18 citations · 31 across the 6 of their papers we have counts for
4 papers · 1 filter
Soliton Solutions for the Non-autonomous Discrete-time Toda Lattice Equation
Kenji Kajiwara, Atsushi Mukaihira
We construct -soliton solution for the non-autonomous discrete-time Toda lattice equation, which is a generalization of the discrete-time Toda equation such that the lattice int…
Generating Function Associated with the Determinant Formula for the Solutions of the Painleve' II Equation
Nalini Joshi, Kenji Kajiwara, Marta Mazzocco
In this paper we consider a Hankel determinant formula for generic solutions of the Painleve' II equation. We show that the generating functions for the entries of the Hankel deter…
Hypergeometric solutions to the q-Painlevé equations
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi +2
Hypergeometric solutions to seven q-Painlevé equations in Sakai's classification are constructed. Geometry of plane curves is used to reduce the q-Painlevé equations to the three-t…
Cubic Pencils and Painlevé Hamiltonians
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi +2
We present a simple heuristic method to derive the Painlevé differential equations from the corresponding geometry of rational surafces. We also give a direct relationship between…