Kink Solution in a Fluid Model of Traffic Flows

Abstract

Traffic jam in a fluid model of traffic flows proposed by Kerner and Konhäuser (B. S. Kerner and P. Konhäuser, Phys. Rev. E 52 (1995), 5574.) is analyzed. An analytic scaling solution is presented near the critical point of the hetero-clinic bifurcation. The validity of the solution has been confirmed from the comparison with the simulation of the model.

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References in corpus (1)

• A Kink Soliton Characterizing Traffic Congestion

Cited by in corpus (3)

• Steady state solutions of hydrodynamic traffic models
• Linear stability analysis of rapid granular flow on a slope and density wave formation
• Theory of ${\omega }^{-4/3}$ law of the power spectrum in dissipative flows