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Based on the optimal velocity model, a new continuum model considering traffic jerk effect is presented in this paper. Then, the critical condition for the steady traffic flow is deduced. Near the neutral stability line, nonlinear analysis is taken to derive the KdV-Burgers equation for describing the density wave, and one of the solutions is given. Numerical simulation is carried out to study the...
A new traffic flow model is proposed based on an optimal velocity car-following model, which takes the traffic jerk effect into consideration. The nature of the model is researched by using linear and nonlinear analysis method. In traffic flow, the phase transition and the critical phenomenon which are described by the thermodynamic theory. The time-dependent Ginzburg-Landau (TDGL) equation and the...
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