Analysis of the Density Wave in a New Continuum Model

Abstract

Considered the effect of traffic anticipation in the real world, a new anticipation driving car following model (AD-CF) was proposed by Zheng et al.. Based on AD-CF model, a new continuum model is presented in this paper. The neutral stability condition and the Korteweg–de Vries (KdV) are derived via linear stability analysis and nonlinear analysis.