The Korteweg-de Vires equation for the bidirectional pedestrian flow model considering the next-nearest-neighbor effect

Li Xu; Siu-Ming Lo; Hong-Xia Ge

doi:10.1088/1674-1056/22/12/120508

The Korteweg-de Vires equation for the bidirectional pedestrian flow model considering the next-nearest-neighbor effect

Li Xu, Siu-Ming Lo, Hong-Xia Ge

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

4 Citations (Scopus)

Abstract

This paper focuses on a two-dimensional bidirectional pedestrian flow model which involves the next-nearest-neighbor effect. The stability condition and the Korteweg-de Vries (KdV) equation are derived to describe the density wave of pedestrian congestion by linear stability and nonlinear analysis. Through theoretical analysis, the soliton solution is obtained. © 2013 Chinese Physical Society and IOP Publishing Ltd.

Original language	English
Article number	120508
Journal	Chinese Physics B
Volume	22
Issue number	12
DOIs	https://doi.org/10.1088/1674-1056/22/12/120508
Publication status	Published - Dec 2013

Research Keywords

bidirectional pedestrian flow
KdV equation
lattice hydrodynamic model

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title = "The Korteweg-de Vires equation for the bidirectional pedestrian flow model considering the next-nearest-neighbor effect",

abstract = "This paper focuses on a two-dimensional bidirectional pedestrian flow model which involves the next-nearest-neighbor effect. The stability condition and the Korteweg-de Vries (KdV) equation are derived to describe the density wave of pedestrian congestion by linear stability and nonlinear analysis. Through theoretical analysis, the soliton solution is obtained. {\textcopyright} 2013 Chinese Physical Society and IOP Publishing Ltd.",

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T1 - The Korteweg-de Vires equation for the bidirectional pedestrian flow model considering the next-nearest-neighbor effect

AU - Xu, Li

AU - Lo, Siu-Ming

AU - Ge, Hong-Xia

PY - 2013/12

Y1 - 2013/12

N2 - This paper focuses on a two-dimensional bidirectional pedestrian flow model which involves the next-nearest-neighbor effect. The stability condition and the Korteweg-de Vries (KdV) equation are derived to describe the density wave of pedestrian congestion by linear stability and nonlinear analysis. Through theoretical analysis, the soliton solution is obtained. © 2013 Chinese Physical Society and IOP Publishing Ltd.

AB - This paper focuses on a two-dimensional bidirectional pedestrian flow model which involves the next-nearest-neighbor effect. The stability condition and the Korteweg-de Vries (KdV) equation are derived to describe the density wave of pedestrian congestion by linear stability and nonlinear analysis. Through theoretical analysis, the soliton solution is obtained. © 2013 Chinese Physical Society and IOP Publishing Ltd.

KW - bidirectional pedestrian flow

KW - KdV equation

KW - lattice hydrodynamic model

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U2 - 10.1088/1674-1056/22/12/120508

DO - 10.1088/1674-1056/22/12/120508

M3 - RGC 21 - Publication in refereed journal

SN - 1674-1056

VL - 22

JO - Chinese Physics B

JF - Chinese Physics B

IS - 12

M1 - 120508

ER -

The Korteweg-de Vires equation for the bidirectional pedestrian flow model considering the next-nearest-neighbor effect

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