Traveling wave solution of higher-order traffic flow model with discontinuous fundamental diagram

DOI10.1142/S0217979215501374zbMath1320.90016MaRDI QIDQ2946250

Chun-Xiu Wu

Publication date: 16 September 2015

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

zbMATH Keywords

traffic flowtraveling wave solutiondiscontinuous fundamental diagramLagrange coordinate

Mathematics Subject Classification ID

Traffic problems in operations research (90B20) Traveling wave solutions (35C07)

Related Items (1)

Asymptotic solution of a wide moving jam to a class of higher-order viscous traffic flow models

Cites Work

• Unnamed Item
• 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
• Steady-state traffic flow on a ring road with up- and down-slopes
• Extensions and Amplifications of a Traffic Model of Aw and Rascle
• Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models
• Congestion on Multilane Highways
• Congestion Redux
• Resurrection of "Second Order" Models of Traffic Flow
• Admissibility of a Wide Cluster Solution in “Anisotropic” Higher-Order Traffic Flow Models

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