Car-following model on two lanes and stability analysis
  Considering lateral influence from adjacent lane, an improved car-following model is developed in this paper. Then linear and non-linear stability analyses are carried out. The modified Korteweg-de Vries (MKdV) equation is derived with the kink-antikink soliton solution. Numerical simulations are implemented and the result shows good consistency with theoretical study. 
Yuhan Jia, Jianping Wu, Yiman Du, Geqi Qi
cs.CE