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两个(2+1)维非线性方程的一组行波解
引用本文:尹丽,朱云. 两个(2+1)维非线性方程的一组行波解[J]. 河南大学学报(自然科学版), 2010, 40(3)
作者姓名:尹丽  朱云
作者单位:郑州轻工业学院,数学与信息科学系,郑州,450002
摘    要:利用G′/G展开法给出(2+1)维Burgers方程和(2+1)维色散长波方程的一组G′/G结构的行波解.当解中参数取定某些特殊值时,将得到这两个方程的孤波解.

关 键 词:(G′)/(G)展开法  行波解  (2+1)维Burgers方程  (2+1)维色散长波方程

A Set of Travelling Wave Solutions of Two(2+1)-Dimensional Nonlinear Equations
YIN Li,ZHU Yun. A Set of Travelling Wave Solutions of Two(2+1)-Dimensional Nonlinear Equations[J]. Journal of Henan University(Natural Science), 2010, 40(3)
Authors:YIN Li  ZHU Yun
Affiliation:YIN Li,ZHU Yun(Department of Mathematics and Information Science,College of Zhengzhou Light Industry,Zhengzhou 450002,China)
Abstract:By using the G'/G-expansion proposed recently,the travelling wave solutions involving parameters of the(2+1)-dimensional Burgers equation and the(2+1)-dimensional dispersive long wave equations are found out. When the parameters are taken as special values the solitary wave solutions are obtained.
Keywords:G'/G-expansion  travelling wave solutions  (2 1)-dimensional Burgers equation  (2 1)-dimensional dispersive long wave equations  
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