Nonlinear Analysis of Traffic Flow for a Lattice Model in an Intelligent Transportation Environment
In this paper, the lattice model which depends not only on the difference of the optimal current and the local current but also on the relative currents is presented and analyzed in detail. From the nonlinear analysis to the extended models, the relative currents dependence of the propagating kink solutions for traffic jam are obtained by deriving the modified KdV equation near the critical point by using the reductive perturbation method.
Z. P. Li et al., "Nonlinear Analysis of Traffic Flow for a Lattice Model in an Intelligent Transportation Environment", Advanced Materials Research, Vol. 187, pp. 464-468, 2011