周口师范学院学报
週口師範學院學報
주구사범학원학보
Journal of Zhoukou Normal University
2012年
2期
13~16
,共null页
扩展的G’／G展开法 行波解 Boussinesq方程
擴展的G’／G展開法 行波解 Boussinesq方程
확전적G’／G전개법 행파해 Boussinesq방정
the G＇/G-expansion method; traveling wave solutions; Boussinesq equation
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舍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．
利用擴展的G’／G展開法得到瞭（2＋1）維Boussinesq方程的新的行波解．應用該方法穫得瞭由雙麯函數和三角函數所錶示的捨有參數的顯示精確解，併且噹參數取特殊值時，可以通過雙麯函數解得到新的孤波解．
이용확전적G’／G전개법득도료（2＋1）유Boussinesq방정적신적행파해．응용해방법획득료유쌍곡함수화삼각함수소표시적사유삼수적현시정학해，병차당삼수취특수치시，가이통과쌍곡함수해득도신적고파해．
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.
