利用改进的(G′/G)-展开法求广义的(2+1)维Boussinesq方程的精确解  

Application of the improved (G′/G)-expansion method to exact solutions for generalized (2+1)-dimensional Boussinesq equation

作　　者：赵云梅[1] 杨云杰[2] 将艳[3] 

机构地区：[1]红河学院数学学院,云南蒙自661100 [2]昆明学院数学系,云南昆明650031 [3]思茅师范高等专科学校数学系,云南普洱665000

出　　处：《纯粹数学与应用数学》2012年第2期176-180,共5页Pure and Applied Mathematics

基　　金：国家自然科学基金(11161020);云南省科技厅项目(2011FZ193);昆明学院校级项目(XJ11L021)

摘　　要：利用改进的(G′/G)-展开法,求广义的(2+1)维Boussinesq方程的精确解,得到了该方程含有较多任意参数的用双曲函数、三角函数和有理函数表示的精确解,当双曲函数表示的行波解中参数取特殊值时,便得到广义的(2+1)维Boussinesq方程的孤立波解.In this paper, the improved （G＇/G）-expansion method is used to construct exact solutions of the generalized （2＋1）-dimensional Boussinesq equation. As a result, some new travelling wave solutions involving parameters, expressed by three types of functions which are the hyperbolic functions, the trigonometric functions and the rational functions, are obtained. When the parameters are taken as special values, the solitary wave solutions are derived from the hyperbolic function solutions.

关 键 词：广义的(2+1)维Boussinesq方程 齐次平衡 改进的(G'/G)-展开法 精确解 

分 类 号：O175.2[理学—数学]