Density Waves in an Anticipation Traffic Flow Model

Abstract

The nonlinear characteristics of a car-following model with the consideration of the anticipation effect are studied by applying the reductive perturbation method in this paper. Density waves which can be expressed by hydrodynamic equations such as the Burgers equation, the Korteweg-de-Vries (KDV) equation and the modified Korteweg-de-Vries (MKDV) equation are investigated. It is fond that driver's anticipation behavior has a significant impact on the stability of traffic flow