2016
DOI: 10.1007/s11071-016-2896-9
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The role of passing in a two-dimensional network

Abstract: The phenomenon of passing on a twodimensional network has been studied through lattice hydrodynamic approach. Near the critical point, the effect of passing is investigated theoretically and numerically. The modified Korteweg-de Vries equation near the critical point is derived using the reduction perturbation method through nonlinear analysis. Analytically, it is shown that for all possible configurations of vehicle, the stable region significantly reduces with an increase in the passing rate. It is shown tha… Show more

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Cited by 46 publications
(1 citation statement)
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“…Discrete and continuous models are widely used to study pedestrian flow or traffic flow. [22][23][24][25] However, considering The ith row and ith column in the system…”
Section: Scenariomentioning
confidence: 99%
“…Discrete and continuous models are widely used to study pedestrian flow or traffic flow. [22][23][24][25] However, considering The ith row and ith column in the system…”
Section: Scenariomentioning
confidence: 99%