A modified lattice hydrodynamic traffic flow model incorporating preceding vehicle jerk dynamics under V2V communication

In this letter, we investigate a novel aspect of the jerk sensitivity effect at the preceding site of the lattice hydrodynamics model, which emerges from the motion of motor vehicles equipped with vehicle-to-vehicle (V2V) communication. This study aims to reduce traffic congestion, smooth traffic flow, and optimize flow stability in both rural and urban areas by integrating V2V technologies. The influence of this preceding vehicle jerk sensitivity has been thoroughly analyzed using both linear and nonlinear analytical approaches. The phase diagrams demonstrate that our proposed model contributes significantly to alleviating traffic instabilities by enhancing predictive jerk sensitivity information from the preceding vehicle. A nonlinear stability analysis has been conducted to derive the modified Korteweg-de Vries (mKdV) equation near the critical point and to characterize complex traffic phenomena such as stop-and-go waves, fluctuations, wave propagation, and phase transitions. All theoretical and numerical results have been systematically compared to the Nagatani and Redhu models. The theoretical core findings of this work have been examined through numerical simulations, which demonstrate that incorporating the preceding vehicle's predictive jerk sensitivity substantially reduces traffic jams and enhances flow stability.