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M. J. Lighthill and G. B. Whitham, “On Kinematic Waves II. A Theory of Traffic Flow on Long Crowded Roads,” Proceedings of the Royal Society of London, Vol. 229, 1955, pp. 317-345.

has been cited by the following article:

• TITLE: Clusters in Macroscopic Traffic Flow Models

  AUTHORS: Rosa María Velasco, Patricia Saavedra

  KEYWORDS: Traffic Flow; Solitons

  JOURNAL NAME: World Journal of Mechanics, Vol.2 No.1, February 29, 2012

  ABSTRACT: This paper concerns the traveling wave formation in macroscopic traffic flow models. The dynamics involved in this problem is described following a close analogy to compressible fluid dynamics. It is well known that vehicle clusters appear along a highway when the homogenous steady state taken as a reference is linearly unstable. The cluster properties are determined in an approximate way in terms of the parameters proper to each model and are compared between them.