Journal
NONLINEAR DYNAMICS
Volume 75, Issue 1-2, Pages 27-34Publisher
SPRINGER
DOI: 10.1007/s11071-013-1046-x
Keywords
Density difference; Lattice hydrodynamic model; Traffic flow; mKdV equation
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Funding
- National Basic Research Program of China [2012CB725401]
- National Natural Science Foundation of China [71171124, 71271025, 61104187]
- Shandong Excellent Young Scientist Research Award Fund Project of China [BS2012SF005, BS2012NY003]
- Fundamental Research Funds for the Central Universities [2012JBM065]
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A new lattice hydrodynamic model for two-lane traffic flow is proposed by introducing the density difference effect (DDE). Using linear stability theory, stability condition of the presented model is obtained. Jamming transitions among the freely moving phase, the coexisting phase, and the uniform congested phase are investigated by employing nonlinear analysis. The modified KdV (mKdV) equation near the critical point is derived and the kink-antikink soliton solutions are obtained. Numerical simulations are presented to verify analytical results, showing that DDE can improve the stability of traffic flow effectively.
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