2 citations · 3 across the 3 of their papers we have counts for
5 papers
A hybrid of the optimal velocity and the slow-to-start models and its ultradiscretization
Kazuhito Oguma, Hideaki Ujino
Through an extension of the ultradiscretization for the optimal velocity (OV) model, we introduce an ultradiscretizable traffic flow model, which is a hybrid of the OV and the slow…
Stochastic Process Associated with Traveling Wave Solutions of the Sine-Gordon Equation
Tetsu Yajima, Hideaki Ujino
Stochastic processes associated with traveling wave solutions of the sine-Gordon equation are presented. The structure of the forward Kolmogorov equation as a conservation law is e…
Additional Constants of Motion for a Discretization of the Calogero--Moser Model
Hideaki Ujino, Luc Vinet, Tetsu Yajima +1
The maximal super-integrability of a discretization of the Calogero--Moser model introduced by Nijhoff and Pang is presented. An explicit formula for the additional constants of mo…
A Super-Integrable Discretization of the Calogero Model
Hideaki Ujino, Luc Vinet, Haruo Yoshida
A time-discretization that preserves the super-integrability of the Calogero model is obtained by application of the integrable time-discretization of the harmonic oscillator to th…
Supersymmetry in the Non-Commutative Plane
Luc Lapointe, Hideaki Ujino, Luc Vinet
The supersymmetric extension of a model introduced by Lukierski, Stichel and Zakrewski in the non-commutative plane is studied. The Noether charges associated to the symmetries are…