Exact Traveling Cluster Solutions of Differential Equations with Delay for a Traffic Flow Model
Exact solutions of the first order differential equation with delay are derived. The equation has been introduced as a model of traffic flow. The solution describes the traveling cluster of jam, which is characterized by Jacobi’s elliptic function. The system is related to some soliton systems.
KeywordsTraffic Flow Travel Wave Solution Elliptic Function Order Differential Equation Granular Flow
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