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

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (12): 120508-120508.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

徐立^a, 卢兆明^b, 葛红霞^c

a Faculty of Science, Ningbo University, Ningbo 315211, China;
b Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;
c Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China

收稿日期:2012-12-12 修回日期:2013-05-28 出版日期:2013-10-25 发布日期:2013-10-25
基金资助:
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).

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

Xu Li (徐立)^a, Lo Siu-Ming (卢兆明)^b, Ge Hong-Xia (葛红霞)^c

a Faculty of Science, Ningbo University, Ningbo 315211, China;
b Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;
c Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China

Received:2012-12-12 Revised:2013-05-28 Online:2013-10-25 Published:2013-10-25
Contact: Ge Hong-Xia E-mail:gehongxia@nbu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: bidirectional pedestrian flow, lattice hydrodynamic model, KdV equation

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.

Key words: bidirectional pedestrian flow, lattice hydrodynamic model, KdV equation

中图分类号: (Phase transitions: general studies)

05.70.Fh

05.90.+m (Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)

徐立, 卢兆明, 葛红霞. The Korteweg-de Vires equation for the bidirectional pedestrian flow model considering the next-nearest-neighbor effect[J]. Chin. Phys. B, 2013, 22(12): 120508-120508.

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[J]. Chin. Phys. B, 2013, 22(12): 120508-120508.

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

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

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