KdV–Burgers equation in the modified continuum model considering anticipation effect

Huaqing Liu, Pengjun Zheng, Keqiang Zhu and Hongxia Ge

Physica A: Statistical Mechanics and its Applications, 2015, vol. 438, issue C, 26-31

Abstract: The new continuum model mentioned in this paper is developed based on optimal velocity car-following model, which takes the drivers’ anticipation effect into account. The critical condition for traffic flow is derived, and nonlinear analysis shows density waves occur in traffic flow because of the small disturbance. Near the neutral stability line, the KdV–Burgers equation is derived and one of the solutions is given. Numerical simulation is carried out to show the local cluster described by the model.

Keywords: Traffic flow; Continuum model; KdV–Burgers equation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:438:y:2015:i:c:p:26-31

DOI: 10.1016/j.physa.2015.05.014

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