General solution of the modified Korteweg-de-Vries equation in the lattice hydrodynamic model  

作　　者：余寒梅 程荣军 葛红霞 

机构地区：[1]Faculty of Science, Ningbo University [2]Department of Fundamental Course, Ningbo Institute of Technology, Zhejiang University

出　　处：《Chinese Physics B》2010年第10期199-203,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 10602025, 10532060 and 60904068);the National Basic Research Program of China (Grant No. 2006CB705500);the Natural Science Foundation of Ningbo City (Grant Nos. 2009B21003, 2009A610154, 2009A610014);K.C. Wong Magna Fund in Ningbo University

摘　　要：Traffic congestion is related to various density waves, which might be described by the nonlinear wave equations, such as the Burgers, Korteweg-de-Vries （KdV） and modified Korteweg-de-Vries （mKdV） equations. In this paper, the mKdV equations of four different versions of lattice hydrodynamic models, which describe the kink-antikink soliton waves are derived by nonlinear analysis. Furthermore, the general solution is given, which is applied to solving a new model -- the lattice hydrodynamic model with bidirectional pedestrian flow. The result shows that this general solution is consistent with that given by previous work.Traffic congestion is related to various density waves, which might be described by the nonlinear wave equations, such as the Burgers, Korteweg-de-Vries （KdV） and modified Korteweg-de-Vries （mKdV） equations. In this paper, the mKdV equations of four different versions of lattice hydrodynamic models, which describe the kink-antikink soliton waves are derived by nonlinear analysis. Furthermore, the general solution is given, which is applied to solving a new model -- the lattice hydrodynamic model with bidirectional pedestrian flow. The result shows that this general solution is consistent with that given by previous work.

关 键 词：traffic flow lattice hydrodynamic model mKdV equation 

分 类 号：O411.1[理学—理论物理] O175[理学—物理]