22 citations · 22 across the 1 of their papers we have counts for
2 papers
math.CA2015
New Airy-type solutions of the ultradiscrete Painleve II equation with parity variables
Hikaru Igarashi, Shin Isojima, Kouichi Takemura
The q-difference Painleve II equation admits special solutions written in terms of determinant whose entries are the general solution of the q-Airy equation. An ultradiscrete limit…
nlin.CG2009★ 22 cited
Ultra-discrete Optimal Velocity Model: a Cellular-Automaton Model for Traffic Flow and Linear Instability of High-Flux Traffic
Masahiro Kanai, Shin Isojima, Katsuhiro Nishinari +1
In this paper, we propose the ultra-discrete optimal velocity model, a cellular-automaton model for traffic flow, by applying the ultra-discrete method for the optimal velocity mod…