Soliton and kink jams in traffic flow with open boundaries
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsPublished 1 July 1999Open access
Masakuni Muramatsu, Takashi Nagatani
Citations112
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TL;DR
It is shown that the soliton solution obtained from the nonlinear analysis is consistent with that of the numerical simulation.
Abstract
Soliton density wave is investigated numerically and analytically in the optimal velocity model (a car-following model) of a one-dimensional traffic flow with open boundaries. Soliton density wave is distinguished from the kink density wave. It is shown that the soliton density wave appears only at the threshold of occurrence of traffic jams. The Korteweg-de Vries (KdV) equation is derived from the optimal velocity model by the use of the nonlinear analysis. It is found that the traffic soliton appears only near the neutral stability line. The soliton solution is analytically obtained from the perturbed KdV equation. It is shown that the soliton solution obtained from the nonlinear analysis is consistent with that of the numerical simulation.
Keywords
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