Solitary wave solution to Aw-Rascle viscous model of traffic flow

DOI10.1007/S10483-013-1687-9zbMath1400.35200OpenAlexW2084405273MaRDI QIDQ1617318

S. C. Wong, Shi-qiang Dai, Peng Zhang, Dian-liang Qiao, Chun-Xiu Wu

Publication date: 8 November 2018

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10722/185767

zbMATH Keywords

hyperbolic conservation lawtraveling wave solutionconservative schemehigher-order traffic flow model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (6)

Discontinuous traveling wave entropy solutions for a sedimentation-consolidation model ⋮ Discontinuous traveling waves for scalar hyperbolic-parabolic balance law ⋮ Traveling wave solution of higher-order traffic flow model with discontinuous fundamental diagram ⋮ Analytical solutions of pattern formation for a class of discrete Aw-Rascle-Zhang traffic models ⋮ Multilane analysis of a viscous second-order macroscopic traffic flow model ⋮ Solitary wave solution to a class of higher-order viscous traffic flow model

Cites Work

• Unnamed Item
• An improved macroscopic model of traffic flow: Derivation and links with the Lighthill-Whitham model
• Stability of Traveling Waves in Quasi-Linear Hyperbolic Systems with Relaxation and Diffusion
• Congestion Redux
• Resurrection of "Second Order" Models of Traffic Flow
• Shock Waves on the Highway
• Admissibility of a Wide Cluster Solution in “Anisotropic” Higher-Order Traffic Flow Models
• On kinematic waves II. A theory of traffic flow on long crowded roads

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