STABILITY AND KINK–ANTIKINK SOLITON SOLUTION FOR TOTAL GENERALIZED OPTIMAL VELOCITY MODEL

Wen-Xing Zhu () and Lei Jia
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Wen-Xing Zhu: School of Control Science and Engineering, Shandong University, Jinan 250061, China;
Lei Jia: School of Control Science and Engineering, Shandong University, Jinan 250061, China

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 09, 1321-1335

Abstract: We proposed a new car-following model named as total generalized optimal velocity model (TGOVM) based on the analysis of the previous models. TGOVM is superior to the previous models in stabilizing the uniform traffic flow by considering all the front influencing factors: headways, relative velocities, and interactions. The linear analysis result showed its superiority to the GOVM, FLOVM, and FLRVM. The nonlinear analysis method is adopted to analyze this model, which described by a differential-difference equation. The modified Korteweg-de Vries (KdV) equation is derived and the kink-antikink soliton solution is obtained near the critical point. The simulation results show that the stabilization is enhanced by the improvement.

Keywords: Total generalized optimal velocity model; linear analysis; nonlinear analysis; modified KdV equation; 05.70.Fh; 05.70.Jk (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012959

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