一种扩展的G′/G展开法应用于(2+1)维Boussinesq方程(英文)  

An extended G′/G-expansion method and its application to (2+1)-dimensional Boussinesq equation

作　　者：邢秀芝[1] 吴景珠[1] 

机构地区：[1]周口师范学院数学系,河南周口466001

出　　处：《周口师范学院学报》2012年第2期13-16,38,共5页Journal of Zhoukou Normal University

基　　金：Supported by NSF of Henan Province(No.112300410109);the NSF of The Education Department of Henan Province(No.2010A110022)

摘　　要：利用扩展的G′/G展开法得到了(2+1)维Boussinesq方程的新的行波解.应用该方法获得了由双曲函数和三角函数所表示的含有参数的显示精确解,并且当参数取特殊值时,可以通过双曲函数解得到新的孤波解.The traveling wave solutions of the （2 ＋1）-dimensional Boussinesq equation were constructed by u- sing an extended G＇/G-expansion method. By using this method, new exact solutions involving parameters, expressed by two types of functions which are hyperbolicand trigonometric function solutions were obtained. When the parameters are taken as special values, some solitary wave solutions are derived from the hyperbolic function solutions.

关 键 词：扩展的G’/G展开法 行波解 BOUSSINESQ方程 

分 类 号：O175.9[理学—数学]