Car-following model on two lanes and stability analysis

TL;DR

This paper develops an improved two-lane car-following model considering lateral influences, performs stability analysis, derives the MKdV equation, and validates findings through numerical simulations.

Contribution

It introduces a novel two-lane car-following model with lateral influence and provides comprehensive stability analysis including MKdV equation derivation.

Findings

Model shows good agreement between simulations and theoretical predictions

Stability conditions are established for the two-lane system

Non-linear wave solutions are characterized by kink-antikink solitons

Abstract

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.