Theoretical Analysis of a Modified Continuum Model

被引：5

作者：

Ge Hong-Xia ^{[1
,3
]}

Wu Shu-Zhen ^{[1
]}

Cheng Rong-Jun ^{[2
]}

Lo Siu-Ming ^{[3
]}

机构：

[1] Ningbo Univ, Fac Sci, Ningbo 315211, Zhejiang, Peoples R China

[2] Zhejiang Univ, Ningbo Inst Technol, Dept Fundamental Course, Ningbo 315100, Zhejiang, Peoples R China

[3] City Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R China

来源：

CHINESE PHYSICS LETTERS | 2011年 / 28卷 / 09期

基金：

中国国家自然科学基金;

关键词：

CAR-FOLLOWING MODELS; TRAFFIC-FLOW; KINEMATIC WAVES; DENSITY WAVE; SOLITON;

D O I：

10.1088/0256-307X/28/9/090501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the optimal velocity (OV) model, a new car-following model for traffic flow with the consideration of the driver's forecast effect (DFE) was proposed by Tang et al., which can be used to describe some complex traffic phenomena better. Using an asymptotic approximation between the headway and density, we obtain a new macro continuum version of the car-following model with the DFE. The linear stability theory is applied to derive the neutral stability condition. The Korteweg-de Vries equation near the neutral stability line is given by nonlinear analysis and the corresponding solution for the traffic density wave is derived.

引用

页数：4

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