A NOVEL LATTICE TRAFFIC FLOW MODEL AND ITS SOLITARY DENSITY WAVES

Wen-Xing Zhu () and Li-Dong Zhang ()
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Wen-Xing Zhu: School of Control Science and Engineering, Shandong University Jinan 250061, P. R. China
Li-Dong Zhang: School of Control Science and Engineering, Shandong University Jinan 250061, P. R. China;

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 03, 1-12

Abstract: A novel lattice traffic flow model with a slope effect is proposed. Neutral stability condition is obtained by the use of the linear stability theory. The standard KdV equation is derived in the meta-stable region and soliton solution is obtained near the neutral stability line. The solitary waves are reproduced through the numerical simulations. Results show that the solitary density wave appears in upward form when the average density is less than critical density, otherwise it exhibits downward form.

Keywords: Lattice model; solitary wave; slope effect; numerical simulation; 05.70.Fh; 05.70.Jk; 64.60.My (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183112500258

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