摘要
文章将Jacobi椭圆函数展开法进行推广,在拟解中对参数j的取+值进行对称延拓。并以(3+1)维非线性Kadomtsev-Petviashvili方程为例,借助计算机代数系统Maple,求出新的周期解和孤波解。并通过图形分析法,给出了相应的讨论。
The Jacobi elliptic function expansion method is generalized further in this paper. The selecting values on the parameter j in the formal solution are symmetrically developed. We take (3+1)-dimensional Kadomtsev-Petviashvili an example, by means of Maple and graphical analysis, new doubly periodic wave and solitary wave structures are obtained.
出处
《云南师范大学学报（自然科学版）》
2004年第6期9-13,共5页
Journal of Yunnan Normal University:Natural Sciences Edition
关键词
(3+1)维
非线性发展方程
椭圆函数法
周期解
孤波解
(3+1)-dimensional
nonlinear evolution equations
Jacobi elliptic function mothod
periodic solutions
solity solutions
