Travelling wave solutions of the homogeneous one-dimensional FREFLO model

B. Huang; J. Y. Hong; G. Q. Jing; W. Niu; L. Fang

doi:10.1063/1.5011998

Travelling wave solutions of the homogeneous one-dimensional FREFLO model

B. Huang
, J. Y. Hong
, G. Q. Jing
, W. Niu
, L. Fang^*

^*此作品的通讯作者

中法工程师学院/国际通用工程学院

Beihang University
Key Laboratory of Precision Opto-Mechatronics Technology (Ministry of Education)
ESSEC Business School
Beijing Jiaotong University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
文章编号	015217
期刊	AIP Advances
卷	8
期	1
DOI	https://doi.org/10.1063/1.5011998
出版状态	已出版 - 1 1月 2018

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abstract = "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.",

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AU - Jing, G. Q.

AU - Niu, W.

AU - Fang, L.

PY - 2018/1/1

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AB - 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.

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DO - 10.1063/1.5011998

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Travelling wave solutions of the homogeneous one-dimensional FREFLO model

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