Solitary wave solution to a class of higher-order viscous traffic flow model

DOI10.1142/S0217979217500990zbMath1365.90097MaRDI QIDQ5269670

Peng Zhang, Chun-Xiu Wu

Publication date: 27 June 2017

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

WENO schemehigher-order traffic flow modelKdV solitary wavereduction perturbation method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traffic problems in operations research (90B20) Other special methods applied to PDEs (35A25) Traveling wave solutions (35C07)

Related Items (2)

Asymptotic solution of a wide moving jam to a class of higher-order viscous traffic flow models ⋮ Phase-plane analysis to an “anisotropic” higher-order traffic flow model

Cites Work

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• An improved macroscopic model of traffic flow: Derivation and links with the Lighthill-Whitham model
• Solitary wave solution to Aw-Rascle viscous model of traffic flow
• Synchronized flow and wide moving jams from balanced vehicular traffic
• Congestion Redux
• Resurrection of "Second Order" Models of Traffic Flow
• Nonlinear Analysis in the Aw–Rascle Anticipation Model of Traffic Flow
• Shock Waves on the Highway
• On the Fundamental Diagram of Traffic Flow
• On kinematic waves II. A theory of traffic flow on long crowded roads

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