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Theoretical Analysis of a Modified Continuum Model |
| GE Hong-Xia1,3, WU Shu-Zhen1, CHENG Rong-Jun2, LO Siu-ming3**
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1Faculty of Science, Ningbo University, Ningbo 315211
2Department of Fundamental Course, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100
3 Department of Building and Construction, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong
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| Cite this article: |
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GE Hong-Xia, WU Shu-Zhen, CHENG Rong-Jun et al 2011 Chin. Phys. Lett. 28 090501 |
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Abstract Based on the optimal velocity (OV) model, a new car-following model for traffic flow with the consideration of the driver's forecast effect (DFE) was proposed by Tang et al., which can be used to describe some complex traffic phenomena better. Using an asymptotic approximation between the headway and density, we obtain a new macro continuum version of the car-following model with the DFE. The linear stability theory is applied to derive the neutral stability condition. The Korteweg–de Vries equation near the neutral stability line is given by nonlinear analysis and the corresponding solution for the traffic density wave is derived.
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| Keywords:
05.70.Fh
05.60.-k
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Received: 28 February 2011
Published: 30 August 2011
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| PACS: |
05.70.Fh
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(Phase transitions: general studies)
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05.60.-k
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(Transport processes)
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