Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
Volume 26, Issue 11, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0129183115501211
Keywords
Traffic flow; lattice model; curved road; nonlinear analysis; numerical simulation
Funding
- National Natural Science Foundation of China [61134004, 11101368, 11471195]
- Scientific Research Fund of Zhejiang Provincial Education Department [Y201323028]
Ask authors/readers for more resources
Due to the existence of curved roads in real traffic situation, a novel lattice traffic flow model on a curved road is proposed by taking the effect of friction coefficient and radius into account. The stability condition is obtained by using linear stability theory. The result shows that the traffic flow becomes stable with the decrease of friction coefficient and radius of the curved road. Using nonlinear analysis method, the Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equation are derived to describe soliton waves and the kink-antikink waves in the meta-stable region and unstable region, respectively. Numerical simulations are carried out and the results are consistent with the theoretical results.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available