Exact solutions to the nonlinear equation in traffic congestion

Abstract

In this paper, the KdV-mKdV equation is obtained via the reductive perturbation method which can be applied to model the traffic flow. To overcome the shortcomings of the traditional KdV-mKdV equation, the original equation is converted into a space-time fractional equation, which is decreased to a common differential equation by using fractional complex transformation. All possible exact solutions are given through the entire discrimination gadget for polynomial method. In particular, the corresponding options are resembled for the specific parameters to show that each answer in the classification can be realized. And the numerical simulations in the paper additionally confirm this conclusion.

User Preference Analysis for an Integrated System of Bus Rapid Transit and On-Demand Shared Mobility Services in Amman, Jordan

“…The adverse effects of this phenomenon are significant in terms of impeding efficient transportation, disrupting urban economic activities, and exacerbating environmental concerns. In the year 2014, the United States economy experienced a substantial loss of $160 billion, while in 2011, the environment was burdened with the emission of over 560 billion pounds of lethal carbon dioxide due to the issue of road traffic congestion [3,4]. In unpredictable scenarios like traffic congestion, bus vehicle scheduling must be considered [5].…”