Nonlinear analysis of lattice model with the consideration of multiple optimal current differences for two-lane freeway

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  • Guanghan Peng
    College of Physics and Electronics, Hunan University of Arts and Science, Changde, 415000, China

Abstract

<jats:p>In this paper, a new lattice model is proposed with the consideration of the multiple optimal current differences for two-lane traffic system. The linear stability condition and the mKdV equation are obtained with the considered multiple optimal current differences effect by making use of linear stability analysis and nonlinear analysis, respectively. Numerical simulation shows that the multiple optimal current differences effect can efficiently improve the stability of two-lane traffic flow. Furthermore, the three front sites considered, is the optimal state of two-lane freeway.</jats:p>

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