Analysis of the Stability and Solitary Waves for the Car-Following Model on Two Lanes - Archive ouverte HAL Access content directly
Conference Papers Year : 2020

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

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Wenhuan Ai
  • Function : Author
  • PersonId : 1118831
Tao Xing
  • Function : Author
  • PersonId : 1118832
Yuhang Su
  • Function : Author
  • PersonId : 1118833
Dawei Liu
  • Function : Author
  • PersonId : 1118834
Huifang Ma
  • Function : Author
  • PersonId : 1118835

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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Dates and versions

hal-03456982 , version 1 (30-11-2021)

Licence

Attribution - CC BY 4.0

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Wenhuan Ai, Tao Xing, Yuhang Su, Dawei Liu, Huifang Ma. Analysis of the Stability and Solitary Waves for the Car-Following Model on Two Lanes. 11th International Conference on Intelligent Information Processing (IIP), Jul 2020, Hangzhou, China. pp.244-253, ⟨10.1007/978-3-030-46931-3_23⟩. ⟨hal-03456982⟩
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