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Density Wave In A New Anisotropic Continuum Model For Traffic Flow

Author

Listed:
  • LEI YU

    (College of Automation, Northwestern Polytechnical University, 710072 Xi'an, P. R. China)

  • ZHONG-KE SHI

    (College of Automation, Northwestern Polytechnical University, 710072 Xi'an, P. R. China)

Abstract

In this paper, we apply a new anisotropic continuum model proposed by Gupta and Katiyar (GK model, for short) [J. Phys. A: Math. Gen.38, 4069 (2005)] to study the density wave of traffic flow. The GK model guarantees the characteristic speeds are always less than or equal to the macroscopic flow speed and overcomes the wrong way travel problem which exists in many high-order continuum models. The stability condition of the GK model is obtained. Applying nonlinear analysis to the GK model, we can obtain the soliton, one type of local density wave, which is induced by the density fluctuation in traffic flow. The soliton wave, which is determined near the neutral stability line by the Korteweg-de Vries (KdV) equation, is discussed in great detail. The numerical results show that local cluster effects which are consistent with the diverse nonlinear phenomena observed in realistic traffic flow can be induced from the GK model.

Suggested Citation

  • Lei Yu & Zhong-Ke Shi, 2009. "Density Wave In A New Anisotropic Continuum Model For Traffic Flow," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(11), pages 1849-1859.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:11:n:s0129183109014771
    DOI: 10.1142/S0129183109014771
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    Cited by:

    1. Tie-Qiao Tang & Yun-Peng Wang & Xiao-Bao Yang & Hai-Jun Huang, 2014. "A Multilane Traffic Flow Model Accounting for Lane Width, Lane-Changing and the Number of Lanes," Networks and Spatial Economics, Springer, vol. 14(3), pages 465-483, December.
    2. Yu, Lei, 2020. "A new continuum traffic flow model with two delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

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