Travelling wave solutions of the homogeneous one-dimensional FREFLO model
Autor: | Bo Huang, J. Y. Hong, G. Q. Jing, W. Niu, Le Fang |
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Rok vydání: | 2018 |
Předmět: |
Physics
Rest (physics) Series (mathematics) Mathematical analysis 0211 other engineering and technologies General Physics and Astronomy 020101 civil engineering 02 engineering and technology lcsh:QC1-999 0201 civil engineering Homogeneous 021105 building & construction Traveling wave Negative velocity Road traffic lcsh:Physics |
Zdroj: | AIP Advances, Vol 8, Iss 1, Pp 015217-015217-8 (2018) |
ISSN: | 2158-3226 |
DOI: | 10.1063/1.5011998 |
Popis: | 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. |
Databáze: | OpenAIRE |
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