The density wave in a car-following model
The density wave in a car-following model
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DOI：
10.1088/0305-4470/35/20/309
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发表时间：
2002-05
期刊：
影响因子：
--
通讯作者：
Xian-jian Zhou;Zhong-zhu Liu;Jun Luo
中科院分区：
文献类型：
--
作者：
Xian-jian Zhou;Zhong-zhu Liu;Jun Luo
根据最优速度模型，推导出交通流稳定的条件。非线性分析表明，交通流本身的密度波动引起两种类型的局部密度波。在稳定态附近，在很大的波前距范围内，弱涨落形成由Korteweg-de弗里斯（KdV）方程确定的孤子。这种孤立子的出现表明，当驾驶员远离孤立子时，会趋向于到达安全距离，在临界点处，这种密度波退化为行波。在临界点附近发生的强涨落形成由修正的Korteweg-de弗里斯（MKdV）方程确定的扭结或孤子。
According to the optimal-velocity model, the condition for stable traffic flow is deduced. Nonlinear analysis shows that the density fluctuation in traffic flow itself induces two types of local density waves. A weak fluctuation occurring near the stability state in a wide range of headways forms a soliton determined by the Korteweg-de Vries (KdV) equation. The appearance of such a soliton shows that drivers tend to reach the safety distance when they are away from it. This density wave degenerates to a travelling wave at the critical point. A strong fluctuation occurring around the critical point forms a kink or a soliton determined by the modified Korteweg-de Vries (MKdV) equation.