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

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.

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Year of publication:	2008
Authors:	Ou, Zhong-Hui
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 387.2008, 8, p. 1799-1806
Publisher:	Elsevier
Subject:	Full velocity difference model \| Burgers equation \| Korteweg-de Vries equation \| Modified Korteweg-de Vries equation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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