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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 727560, 9 pages
http://dx.doi.org/10.1155/2014/727560
Research Article

Stability Analysis of a Car-Following Model on Two Lanes

Yuhan Jia,1,2 Yiman Du,1,2 and Jianping Wu1,2

1Department of Civil Engineering, Tsinghua University, Beijing 100084, China
2Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, Nanjing 210096, China

Received 16 October 2014; Revised 20 November 2014; Accepted 20 November 2014; Published 17 December 2014

Academic Editor: Sergio Preidikman

Copyright © 2014 Yuhan Jia et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Considering lateral influence from adjacent lane, an improved car-following model is developed in this paper. Then linear and nonlinear stability analyses are carried out. The modified Korteweg-de Vries (MKdV) equation is derived with the kink-antikink soliton solution. Numerical simulations are implemented and the result shows good consistency with theoretical study.