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

作　　者：徐立 卢兆明 葛红霞 

机构地区：[1]Faculty of Science, Ningbo University [2]Department of Civil and Architectural Engineering, City University of Hong Kong [3]Faculty of Maritime and Transportation, Ningbo University

出　　处：《Chinese Physics B》2013年第12期168-172,共5页中国物理B（英文版）

基　　金：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;the Research Grant Council,Government of the Hong Kong Administrative Region,China(Grant No.CityU119011)

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.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 

分 类 号：O411.3[理学—理论物理]