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A Novel Lattice Traffic Flow Model And Its Solitary Density Waves

Author

Listed:
  • WEN-XING ZHU

    (School of Control Science and Engineering, Shandong University Jinan 250061, P. R. China)

  • LI-DONG ZHANG

    (School of Control Science and Engineering, Shandong University Jinan 250061, P. R. China;
    Shandong Computer Science Center, National Supercomputing Jinan, Branch Jinan, 250014, P. R. China)

Abstract

A novel lattice traffic flow model with a slope effect is proposed. Neutral stability condition is obtained by the use of the linear stability theory. The standard KdV equation is derived in the meta-stable region and soliton solution is obtained near the neutral stability line. The solitary waves are reproduced through the numerical simulations. Results show that the solitary density wave appears in upward form when the average density is less than critical density, otherwise it exhibits downward form.

Suggested Citation

  • Wen-Xing Zhu & Li-Dong Zhang, 2012. "A Novel Lattice Traffic Flow Model And Its Solitary Density Waves," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(03), pages 1-12.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:03:n:s0129183112500258
    DOI: 10.1142/S0129183112500258
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