Asymptotic solutions for a multi-anticipative car-following model

Christoph Wagner

Physica A: Statistical Mechanics and its Applications, 1998, vol. 260, issue 1, 218-224

Abstract: Using a long wave expansion we study the asymptotic solutions near a critical point of a multi-anticipative car-following model. A suitable rescaling of the variables then yields a modified Korteweg–de Vries (MKdV) equation with higher order corrections. An equation of this general form has already been investigated in detail in case of a simple model which allows us to use these results. We are thus led to the conclusion that the characteristic features of the multi-interaction model in the congested state can be obtained from the simple model by appropriately scaling the results.

Keywords: Traffic dynamics; Asymptotic theory; Solitons (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:260:y:1998:i:1:p:218-224

DOI: 10.1016/S0378-4371(98)00306-9

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