481 citations · 628 across the 9 of their papers we have counts for
9 papers
Multi-Bunch Solutions of Differential-Difference Equation for Traffic Flow
Ken Nakanishi
Newell-Whitham type car-following model with hyperbolic tangent optimal velocity function in a one-lane circuit has a finite set of the exact solutions for steady traveling wave, w…
Bifurcation Phenomena in Optimal Velocity Model for Traffic Flows
Yuji Igarashi, Katsumi Itoh, Ken Nakanishi +2
In the optimal velocity model with a time lag, we show that there appear multiple exact solutions in some ranges of car density, describing a uniform flow, a stable and an unstable…
Quasi-Solitons in Dissipative Systems and Exactly Solvable Lattice Models
Yuji Igarashi, Katsmi Itoh, Ken Nakanishi +2
A system of first-order differential-difference equations with time lag describes the formation of density waves, called as quasi-solitons for dissipative systems in this paper. Fo…
Toda Lattice Solutions of Differential-Difference Equations for Dissipative Systems
Yuji Igarashi, Katsumi Itoh, Ken Nakanishi
In a certain class of differential-difference equations for dissipative systems, we show that hyperbolic tangent model is the only the nonlinear system of equations which can admit…
Analysis of Optimal Velocity Model with Explicit Delay
Masako Bando, Katsuya Hasebe, Ken Nakanishi +1
We analyze Optimal Velocity Model (OVM) with explicit delay. The properties of congestion and the delay time of car motion are investigated by analytical and numerical methods. It…
Universal behaviors in granular flows and traffic flows
Hisao Hayakawa, Ken Nakanishi
We review the current understanding on universal behaviors in granular flows through a vertical pipe and traffic flows. We carry out weakly nonlinear analysis of a model for traffi…