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2020 | OriginalPaper | Chapter

Analysis of the Stability and Solitary Waves for the Car-Following Model on Two Lanes

Authors : WenHuan Ai, Tao Xing, YuHang Su, DaWei Liu, Huifang Ma

Published in: Intelligent Information Processing X

Publisher: Springer International Publishing

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Abstract

In this paper, Analysis of the stability and solitary waves for a car-following model on two lanes is carried out. The stability condition of the model is obtained by using the linear stability theory. We study the nonlinear characteristics of the model and obtain the solutions of Burgers equation, KDV equation, and MKDV equation, which can be used to describe density waves in three regions (i.e., stable, metastable and unstable), respectively. The analytical results show that traffic flow can be stabilized further by incorporating the effects come from the leading car of the nearest car on neighbor lane into car-following model.

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Metadata
Title
Analysis of the Stability and Solitary Waves for the Car-Following Model on Two Lanes
Authors
WenHuan Ai
Tao Xing
YuHang Su
DaWei Liu
Huifang Ma
Copyright Year
2020
Book
Intelligent Information Processing X

Print ISBN: 978-3-030-46930-6

Electronic ISBN: 978-3-030-46931-3

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-46931-3_23

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