An Asymptotic Solvable Multiple ``Look-Ahead" Model with Multi-weight

A type of multiple ``look-ahead" car-following models is studied by nonlinear analysis. The mKdV equation to describe density wave of traffic jamming is derived. The result indicates that the behavior of multiple ``look-ahead" is in favor of stability enhancement of traffic flow. Furthermore, the traffic flow can reach the most stable case via adjustment of the parameter of weight functions m = 3.

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