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

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

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.

Keywords: bidirectional pedestrian flow lattice hydrodynamic model KdV equation

Received: 12 December 2012
Revised: 28 May 2013
Accepted manuscript online:

PACS:	05.70.Fh	(Phase transitions: general studies)
	89.40.+k
	05.90.+m	(Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11072117), the Scientific Research Fund of Zhejiang Province, China (Grant No. LY13A010005), the Disciplinary Project of Ningbo City, China (Grant No. SZXL1067), the Scientific Research Fund of Education Department of Zhejiang Province, China (Grant No. Z201119278), the Natural Science Foundation of Ningbo City, China (Grant Nos. 2012A610152 and 2012A610038), the K. C. Wong Magna Fund in Ningbo University, China, and the Research Grant Council, Government of the Hong Kong Administrative Region, China (Grant No. CityU119011).

Corresponding Authors: Ge Hong-Xia
E-mail: gehongxia@nbu.edu.cn

Cite this article:

Xu Li (徐立), Lo Siu-Ming (卢兆明), Ge Hong-Xia (葛红霞) The Korteweg-de Vires equation for the bidirectional pedestrian flow model considering the next-nearest-neighbor effect 2013 Chin. Phys. B 22 120508

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

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