Travelling wave solutions of the homogeneous one-dimensional FREFLO model

Presently there is quite few analytical studies in traffic flows due to the non-linearity of the governing equations. In the present paper we introduce travelling wave solutions for the homogeneous one-dimensional FREFLO model, which are expressed in the form of series and describe the procedure tha...

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Bibliographic Details
Published inAIP advances Vol. 8; no. 1; pp. 015217 - 015217-8
Main Authors Huang, B., Hong, J. Y., Jing, G. Q., Niu, W., Fang, L.
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.01.2018
AIP Publishing LLC
Subjects
Deceleration
Linearity
Mathematical models
Pedestrians
Traveling waves
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Summary:Presently there is quite few analytical studies in traffic flows due to the non-linearity of the governing equations. In the present paper we introduce travelling wave solutions for the homogeneous one-dimensional FREFLO model, which are expressed in the form of series and describe the procedure that vehicles/pedestrians move with a negative velocity and decelerate until rest, then accelerate inversely to positive velocities. This method is expect to be extended to more complex situations in the future.
ISSN:2158-3226
2158-3226
DOI:10.1063/1.5011998