N. Nakazono

activity

20092026

most citedProjective reduction of the discrete Painlevé system of type

(A_{2} + A_{1})^{(1)}

18 citations · 88 across the 23 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math-ph2017★ 3 cited

Geometric description of discrete power function associated with the sixth Painlevé equation

Nalini Joshi, Kenji Kajiwara, Tetsu Masuda +2

In this paper, we consider the discrete power function associated with the sixth Painlevé equation. This function is a special solution of the so-called cross-ratio equation with a…

nlin.SI2017★ 2 cited

Reduction of lattice equations to the Painlevé equations: P $_{IV}$ and P $_{V}$

Nobutaka Nakazono

In this paper, we construct a new relation between ABS equations and Painlevé equations. Moreover, using this connection we construct the difference-differential Lax representation…

math-ph2017★ 3 cited

Elliptic Painlevé equations from next-nearest-neighbor translations on the $E_{8}^{(1)}$ lattice

Nalini Joshi, Nobutaka Nakazono

The well known elliptic discrete Painlevé equation of Sakai is constructed by a standard translation on the $E_{8}^{(1)}$ lattice, given by nearest neighbor vectors. In this paper, w…

Geometric description of discrete power function associated with the sixth Painlevé equation

Reduction of lattice equations to the Painlevé equations: PIV​ and PV​

Elliptic Painlevé equations from next-nearest-neighbor translations on the E8(1)​ lattice

Reduction of lattice equations to the Painlevé equations: P $_{IV}$ and P $_{V}$

Elliptic Painlevé equations from next-nearest-neighbor translations on the $E_{8}^{(1)}$ lattice