In order to research the effects of headway changes with memory and backward looking effect on traffic flow, in the light of the full velocity difference model (FVDM), a novel car-following model that considers backward looking effect and headway changes with memory is proposed. The use of linear stability theory is to obtain the stability criterion that can judge traffic flow stability. In addition, on the basis of nonlinear theory, the time-dependent Ginzburg–Lan (TDGL) equation and the modified Korteweg–de Vries (mKdV) equation near the critical stability point are inferred. The kink–antikink solutions of the above two equations can be used to describe the traffic jam. In the end, numerical simulation is carried out, and the results further demonstrate that the novel model can stabilize traffic flow and eliminate traffic jam better.

为了研究车速变化与记忆以及后视效应对交通流的影响，针对全速差模型（FVDM），提出了一种考虑后视效应和记忆变化与车速变化的新型跟车模型。 。线性稳定性理论的使用是为了获得可以判断交通流稳定性的稳定性判据。此外，根据非线性理论，可以推导时间相关的Ginzburg-Lan（TDGL）方程和在临界稳定点附近的改进的Korteweg-de Vries（mKdV）方程。以上两个方程的扭结-反扭结解可用于描述交通拥堵。最后进行了数值模拟，结果进一步证明了该模型能够稳定交通流量，更好地消除交通拥堵。