KdV–Burgers equation in a new continuum model based on full velocity difference model considering anticipation effect

In this paper, a new continuum model based on full velocity difference car following model is developed with the consideration of driver’s anticipation effect. By applying the linear stability theory, the new model’s linear stability is obtained. Through nonlinear analysis, the KdV–Burgers equation is derived to describe the propagating behavior of traffic density wave near the neutral stability line. Numerical simulation shows that the new model possesses the local cluster, and it is capable of explaining some particular traffic phenomena Numerical results show that when considering the effects of anticipation, the traffic jams can be suppressed efficiently. The key improvement of this new model is that the anticipation effect can improve the stability of traffic flow.

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