Solition Wave of Car-Following Model with Anticipation Effect

Ji Qun Wu; Shuang Ke Li

doi:10.4028/www.scientific.net/AMM.738-739.504

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An Approach for Active Odor Source Localization Based on Particle Swarm Optimization
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Research on Safety Levels in the Chinese Construction Materials Industry Based on Gray Model Forecasting
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The Application of Fuzzy AHP in Safety Evaluation of Highway Construction Crossover Operation
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Research on Anchorage Location Selection in the Yangtze River Based on Multi-Objective Optimization
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Digital Method for Acquiring Discontinuity 2D Density Based on 3D Digital Traces Model
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 738-739Solition Wave of Car-Following Model with...

Solition Wave of Car-Following Model with Anticipation Effect

Abstract:

In this paper, the nonlinear analysis is conducted for the car-following model with the consideration of the anticipation effect in single line, which was proposed by Peng guanghan. We study the nonlinear characteristics of the model by applying the reductive perturbation method, and drive the Burgers equation, the Korteweg-de-Vries (KDV) equation and the modified Korteweg-de-Vries (MKDV) equation respectively. We find that the above nonlinear equations for this model are identical with those equations for the Full velocity difference model.