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- W2084675081 abstract "Based on the microscopic two velocity difference model, a macroscopic model called speed viscous continuum model is developed to describe traffic flow. The relative velocities are added to the motion equation, which leads to viscous effects in continuum model. The viscous continuum model overcomes the backward travel problem, which exists in many higher-order continuum models. Nonlinear analysis shows that the density fluctuation in traffic flow leads to density waves. Near the onset of instability, a small disturbance could lead to solitons described by the Korteweg–de Vries–Burgers (KdV–Burgers) equation, which is seldom found in other traffic flow models, and the soliton solution is derived." @default.
- W2084675081 created "2016-06-24" @default.
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- W2084675081 date "2012-02-01" @default.
- W2084675081 modified "2023-10-15" @default.
- W2084675081 title "The KdV–Burgers equation in speed gradient viscous continuum model" @default.
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- W2084675081 doi "https://doi.org/10.1016/j.physa.2011.10.014" @default.
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