Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 388, Issue 8, Pages 1682-1686Publisher
ELSEVIER
DOI: 10.1016/j.physa.2008.11.026
Keywords
Traffic flow; Lattice hydrodynamic model; KdV equation
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Funding
- National Basic Research Program of China [2006CB705500]
- National Natural Science Foundation of China [10532060, 10602025, 10802042]
- Natural Science Foundation of Ningbo [2007A610050]
- K.C. Wong Magna Fund in Ningbo University
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The lattice hydrodynamic model is not only a simplified version of the macroscopic hydrodynamic model, but is also closely connected with the microscopic car following model. The modified Korteweg-de Vries (mKdV) equation about the density wave in congested traffic has been derived near the critical point since Nagatani first proposed it. But the Korteweg-de Vries (KdV) equation near the neutral stability line has not been studied, which has been investigated in detail in the car following model. So we devote ourselves to obtaining the KdV equation from the lattice hydrodynamic model and obtaining the KdV soliton solution describing the traffic jam. Numerical simulation is conducted, to demonstrate the nonlinear analysis result. (c) 2009 Published by Elsevier B.V.
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