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.
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Hasebe, K., Nakayama, A., Sugiyama, Y. (2008). Exact Traveling Cluster Solutions of Differential Equations with Delay for a Traffic Flow Model. In: Helbing, D., Herrmann, H.J., Schreckenberg, M., Wolf, D.E. (eds) Traffic and Granular Flow ’99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59751-0_43
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DOI: https://doi.org/10.1007/978-3-642-59751-0_43
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64109-1
Online ISBN: 978-3-642-59751-0
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