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KdV–Burgers equation in the modified continuum model considering the effect of friction and radius on a curved road

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  • Liu, Zhaoze
  • Ge, Hongxia
  • Cheng, Rongjun

Abstract

Considering the effect of friction and radius on a curved road, we propose an extended continuum model based on the full velocity difference model (FVDM, for short). Through the linear stability theory, the linear stability criterion of the continuum model is gained. By applying the nonlinear analysis, the KdV–Burgers equation is derived to describe the propagating behavior of traffic density wave near the neutral stability line. Numerical simulations show that traffic flow evolves into multiple local cluster, which corresponding to some particular traffic phenomenon with distinctive curved road factors. Numerical results indicate that the effect of friction and radius can suppress the traffic congestion and improve the stability of traffic flow efficiently.

Suggested Citation

  • Liu, Zhaoze & Ge, Hongxia & Cheng, Rongjun, 2018. "KdV–Burgers equation in the modified continuum model considering the effect of friction and radius on a curved road," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 1218-1227.
    • Handle: RePEc:eee:phsmap:v:503:y:2018:i:c:p:1218-1227
    DOI: 10.1016/j.physa.2018.08.106
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