The KdV-Burgers equation in a new continuum model with consideration of driver's forecast effect and numerical tests
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Publication:397771
DOI10.1016/j.physleta.2013.09.044zbMath1293.90011OpenAlexW1970912064MaRDI QIDQ397771
Peng-Jun Zheng, Rong-Jun Cheng, Hong-Xia Ge, Ling-Ling Lai
Publication date: 12 August 2014
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2013.09.044
Related Items (10)
Nonlinear analysis of an improved continuum model considering mean-field velocity difference ⋮ A macro traffic flow model accounting for real-time traffic state ⋮ Analysis of drivers' characteristics on continuum model with traffic jerk effect ⋮ A forward-looking anticipative viscous high-order continuum model considering two leading vehicles for traffic flow through wireless V2X communication in autonomous and connected vehicle environment ⋮ A new higher-order viscous continuum traffic flow model considering driver memory in the era of autonomous and connected vehicles ⋮ KdV-Burgers equation in the modified continuum model considering the effect of friction and radius on a curved road ⋮ Nonlinear analysis for a modified continuum model considering driver's memory and backward looking effect ⋮ Research on preceding vehicle's taillight effect and energy consumption in an extended macro traffic model ⋮ A continuous traffic flow model considering predictive headway variation and preceding vehicle's taillight effect ⋮ Enhanced stability of car-following model upon incorporation of short-term driving memory
Cites Work
- A new car-following model with consideration of roadside memorial
- A new macro model for traffic flow with the consideration of the driver's forecast effect
- Resurrection of "Second Order" Models of Traffic Flow
- Shock Waves on the Highway
- On kinematic waves I. Flood movement in long rivers
- On kinematic waves II. A theory of traffic flow on long crowded roads
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