Travelling wave solutions of the homogeneous one-dimensional FREFLO model

Autor: Bo Huang, J. Y. Hong, G. Q. Jing, W. Niu, Le Fang
Rok vydání: 2018
Předmět:
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