Nonlinear Analysis in the Aw–Rascle Anticipation Model of Traffic Flow

DOI10.1137/060656863zbMath1117.35044OpenAlexW2054434377MaRDI QIDQ5294176

Liyun Dong, Zhonghui Ou, Peng Zhang, Shi-qiang Dai

Publication date: 24 July 2007

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060656863

zbMATH Keywords

nonlinear stability analysiswavefront expansion technique

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Soliton equations (35Q51) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (4)

Analyses of lattice hydrodynamic model using delayed feedback control with passing ⋮ The effect of diffusion in a new viscous continuum traffic model ⋮ Analytical solutions of pattern formation for a class of discrete Aw-Rascle-Zhang traffic models ⋮ Solitary wave solution to a class of higher-order viscous traffic flow model

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