The density wave in a new anisotropic continuum model

• 来源期刊: 中国物理B（英文版）
• 关键词: high-order continuum model density waves KdV equation
• 年，卷（期）: 2008,（1）
• 页码范围: 23-26
• 页数: 4页
• 语种: 英文

摘要

In this paper the new continuum traffic flow model proposed by Jiang et al is developed based on an improved car-following model,in which the speed gradient term replaces the density gradient term in the equation of motion.It overcomes the wrong-way travel which exists in many high-order continuum models.Based on the continuum version of car-following model,the condition for stable traffic flow is derived.Nonlinear analysis shows that the density fluctuation in traffic flow induces a variety of density waves.Near the onset of instability,a small disturbance could lead to solitons determined by the Korteweg-de-Vries (KdV) equation,and the soliton solution is derived.