应用数学2005，Vol.18Issue(2)：303-307,5.
应用F展开法求KdV方程的周期波解
Applications of F-expansion to Periodic Wave Solutions for KdV Equation
摘要
Abstract
We present a F- expansion method for finding periodic wave solutions of nonlinear evolution equations in mathematical physics,which can be thought of as a concentration of extended Jacobi elliptic function expansion method proposed more recently. By using the F- expansion, without calculating Jacobi elliptic functions, we obtain simultaneously many periodic wave solutions expressed by various Jacobi elliptic functions for the famous KdV equation. When the modulus m approaches to 1 ,the hyperbolic function solutions (including the solitary wave solutions) are also given.关键词
F展开法/KdV方程/周期波解/Jacobi椭圆函数/孤立波解Key words
F- expansion/KdV equation/Periodic wave solutions/Jacobi elliptic functions/Solitary wave solutions分类
数理科学引用本文复制引用
李向正,王明亮,李晓燕..应用F展开法求KdV方程的周期波解[J].应用数学,2005,18(2):303-307,5.基金项目
Supported in part by the Natural Science Foundation of Henan Province of China(0111050200), the Natural Science Foundation of Education Department of Henan Province of China(2003110003) and the Science Foundation of Henan University of Science and Technol （0111050200）
