| 一种岔路口分流交通流格子模型的孤立波分析 |
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| 引用本文： | 杜勇,化存才,郑治波,袁娜.一种岔路口分流交通流格子模型的孤立波分析[J].动力学与控制学报,2013,11(2):133-136. |
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| 作者姓名： | 杜勇 化存才 郑治波 袁娜 |
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| 作者单位： | 武警后勤学院数学教研室,天津 300162;云南师范大学数学学院,昆明 650092;保山学院数学学院,保山 678000;云南师范大学数学学院,昆明 650092 |
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| 基金项目： | 国家自然科学基金项目(11162020)资助 |
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| 摘 要： | 建立了道路岔口处车辆分流时的一种流体力学格子模型．推导出了该模型的线性稳定性条件．通过非线性稳定性分析得到MKdV方程，进而可用MKdV方程的扭结．反扭结解去描述交通阻塞现象．结果显示：主干道车辆换道率的增加能够使共存曲线下降，从而起到提高主干道车流的稳定性的作用．
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| 关 键 词： | 交通流格子模型 岔路口 分流 MKdV方程 孤立波 |
| 收稿时间： | 7/8/2012 12:00:00 AM |
| 修稿时间： | 2013/3/26 0:00:00 |
Analysis of soliton in a split-flow traffic flow lattice model on the crossing road |
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| Du Yong,Hua Cuncai,Zheng Zhibo and Yuan Na.Analysis of soliton in a split-flow traffic flow lattice model on the crossing road[J].Journal of Dynamics and Control,2013,11(2):133-136. |
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| Authors: | Du Yong Hua Cuncai Zheng Zhibo and Yuan Na |
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| Affiliation: | 1. Department of Mathematics, Logistics University of Chinese People Armed Police Forces, Tianjin 300162, China) (2. School of Mathematics, Yunaan Normal University, Kunming 650092, CMna ) ( 3. School of Mathematics, Baoshan College, Baoshan 678000, China) |
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| Abstract: | A split flow traffic flow lattice model on the road crossing was proposed, and the sufficient and necessary conditions for keeping the model's linear stability were derived. The MKdV equation was derived from the models near the critical point. By using the kink and anti kink solutions of the MKdV equation, the traffic jam was described. It is found that the coexisting curves decrease with the increasing of the rate of lane changing. Therefore, it plays stability role in heightening the traffic flows in main lane. |
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| Keywords: | traffic flow lattice model crossing split-flow MKdV equation soliton |
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