Density waves in the continuum analog of the full velocity difference model

Zhong-Hui Ou

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 8, 1799-1806

Abstract: A continuum version of the car-following full velocity difference model (FVDM) is developed using a series expansion of the headway in terms of the density. This continuum model obeys the equivalent stability criterion as its discrete counterpart, and the Burgers and Korteweg-de Vries equations deriving from the analogous continuum model are equivalent to their counterparts from the transformed car-following model.

Keywords: Full velocity difference model; Burgers equation; Korteweg-de Vries equation; Modified Korteweg-de Vries equation (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:8:p:1799-1806

DOI: 10.1016/j.physa.2007.11.012

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