Theoretical analysis of the density wave in a new continuum model and numerical simulation

DOI10.1016/j.physa.2014.01.026zbMath1395.90083OpenAlexW2047234340MaRDI QIDQ1782714

Rong-Jun Cheng, Hong-Xia Ge, Ling-Ling Lai, Zhi-Peng Li

Publication date: 20 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2014.01.026

zbMATH Keywords

KdV equationnumerical simulationtraffic flowA new continuum model

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Traffic problems in operations research (90B20)

Related Items (6)

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 social optimum for staggered shifts in a single-entry traffic corridor with no late arrivals ⋮ Analysis of user equilibrium for staggered shifts in a single-entry traffic corridor with no late arrivals ⋮ Social optimum for evening commute in a single-entry traffic corridor with no early departures ⋮ Impacts of bounded rationality on trip cost in a two-route traffic network

Cites Work

• Continuum modeling for two-lane traffic flow
• A new car-following model with consideration of roadside memorial
• 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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