Nonlinear analysis of a new lattice hydrodynamic model with the consideration of honk effect on flux for two-lane highway

Abstract

Influence of the honk on traffic flux is taken to construct a new lattice model for two-lane freeway. The linear stability analysis is applied to obtain the stability condition involving the honk effect on traffic flux in two-lane system. Nonlinear analysis is implemented to get the mKdV equation for the phase transition of two-lane lattice traffic flow. Numerical simulation is worked out to authenticate that the impact of honk on traffic flux strengthens the stability of traffic flow and suppresses the traffic congestion effectively under lane changing in two-lane lattice traffic flow, which is accordance with the analytic results.