A lattice hydrodynamic model considering the following lattice and its stability analysis

被引:0
|
作者
Han, Xianglin [1 ]
Ouyang, Cheng [1 ]
机构
[1] Huzhou Teachers Coll, Coll Sci, Huzhou 313000, Peoples R China
来源
ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, PTS 1 AND 2 | 2014年 / 444-445卷
关键词
Lattice hydrodynamic model; Traffic flow; Intelligent transportation system (ITS); MKdV equation; Stability; TRAFFIC FLOW MODEL;
D O I
10.4028/www.scientific.net/AMM.0.293
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Incorporating the ITS in traffic flow, two lattice hydrodynamic models considering the following lattice are proposed to study the influence of the following lattice on traffic flow stability. The results from the linear stability theory show that considering the following lattice could lead to the improvement of the traffic flow stability. The modified Korteweg-de Vries equations (the mKdV equation, for short) near the critical point are derived by using the nonlinear perturbation method to show that the traffic jam could be described by the kink-antikink soliton solutions for the mKdV equations.
引用
收藏
页码:293 / 298
页数:6
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