Exact Traveling Cluster Solutions of Differential Equations with Delay for a Traffic Flow Model

K. Hasebe, A. Nakayama and Y. Sugiyama
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K. Hasebe: Aichi University, Faculty of Business Administration
A. Nakayama: Gifu Keizai University
Y. Sugiyama: City College of Mie, Division of Mathematical Science

A chapter in Traffic and Granular Flow ’99, 2008, pp 413-418 from Springer

Abstract: Abstract 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.

Keywords: Traffic Flow; Travel Wave Solution; Elliptic Function; Order Differential Equation; Granular Flow (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59751-0_43

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DOI: 10.1007/978-3-642-59751-0_43

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