Korteweg–de Vries方程
车头时距
流量(计算机网络)
变量(数学)
孤子
物理
制动器
密度波理论
机械
流量(数学)
理论(学习稳定性)
非线性系统
计算机模拟
数学分析
数学
计算机科学
材料科学
模拟
量子力学
计算机安全
机器学习
冶金
凝聚态物理
作者
Zihao Wang,Rui-Ling Yu
出处
期刊:Communications in Theoretical Physics
[IOP Publishing]
日期:2012-02-01
卷期号:57 (2): 301-307
被引量:12
标识
DOI:10.1088/0253-6102/57/2/23
摘要
Traffic flow model is improved by introducing variable brake distances with varying slopes. Stability of the traffic flow on a gradient is analyzed and the neutral stability condition is obtained. The KdV (Korteweg-de Vries) equation is derived the use of nonlinear analysis and soliton solution is obtained in the meta-stable region. Solitary density waves are reproduced in the numerical simulations. It is found that as uniform headway is less than the safety distance solitary wave exhibits upward form, otherwise it exhibits downward form. In general the numerical results are in good agreement with the analytical results.
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