A Newly Enhanced Two-Lane Lattice Hydrodynamic Model Is Being Utilized to Explore the Influence of Lanes on Jerk

This present study confronts the challenges arising from the prevalence of non- motor vehicles on twolane roads by developing and analyzing a lattice hydrody- namic (L-H) model that incorporates jerk dynamics. The research adopts a three- phase methodology, initiating with a comprehensive examination of the system's stability using linear analysis and phase diagrams. Subsequent phases involve an in-depth exploration of the derivation of the modied Korteweg–de Vries (mKdv) equation and its solution in non-linear analysis, particularly as trafc ow ap- proaches critical points during phase transitions. To substantiate the theoretical and analytical conclusions, the study employs simulated analysis, ensuring a thorough validation of the proposed model. The assessment highlights the model's exceptional performance, especially in the con- text of two-lane roads featuring non-motor vehicles, spanning both urban and rural environments. This present research provides the trafc ow dynamics, present- ing a nuanced understanding of how nonmotor vehicles impact two-lane road systems.