摘要
通过试探方法得到辅助常微分方程的一些新的孤波解.利用该方程及其解,采用改进的tanh函数展开法研究了第1类和第2类变系数KdV方程,获得了在一定条件下的若干新精确孤波解.该方法也适合求解其他变系数非线性偏微分方程的孤波解.
Some new exact solitary wave solutions of an auxiliary ordinary differential equation were obtained by the trial method. By utilizing the auxiliary ordinary differential equation and its solutions, the first kind and Second kind of KdV equation with variable coefficients were investigated by means of the extended tanh-func-tion method; and abundant new exact solitary wave solutions were obtained under certain conditions. The tech' nique can also be applied to seek solitary wave solutions for other nonlinear partial differential equations with variable coefficients.
出处
《湖南大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2007年第12期72-75,共4页
Journal of Hunan University:Natural Sciences
基金
国家自然科学基金资助项目(10672053)
湖南省教育厅科学研究资助项目(07D064)
关键词
波方程
孤立子
孤波解
改进的tanh函数展开法
变系数KDV方程
wave equations
solitons
solitary wave solution
the extended tanh-function method
variable co-efficient KdV equation