| Klein-Gordon方程的周期波解 |
| |
| 引用本文： | 王晓,李粉红. Klein-Gordon方程的周期波解[J]. 甘肃联合大学学报(自然科学版), 2009, 23(1) |
| |
| 作者姓名： | 王晓 李粉红 |
| |
| 作者单位： | 商洛学院,数学系,陕西,商洛,726000 |
| |
| 摘 要： | 利用F展开法求出Klein-Gordon方程Utt-Utt+M2U-nU2=0的用Jacobi椭圆函数表示的二十种形式的周期波解.进而,在极限的情形下,得到十个双曲函数表示的孤立波解和六个三角函数表示的周期波解.
|
| 关 键 词： | Klein-Gordon方程 F展开法 非线性偏微分方程 周期波解 孤立波解 |
Periodic Wave Solutions for Klein-Gordon Equation |
| |
| WANG Xiao,LI Fen-hong. Periodic Wave Solutions for Klein-Gordon Equation[J]. Journal of Gansu Lianhe University :Natural Sciences, 2009, 23(1) |
| |
| Authors: | WANG Xiao LI Fen-hong |
| |
| Affiliation: | Department of Mathematics;Shangluo University;Shangluo 726000;China |
| |
| Abstract: | By using the F-expansion method,the twenty kinds of periodic wave solutions expressed by Jacobi elliptic to Klein-Gordon equation Utt-Utt+M2U-nU2=0 are derived.Moreover,in the limit case,the ten solitary wave solutions expressed by hyperbolic functions and the six periodic wave solutions expressed by trigonometric functions are obtained. |
| |
| Keywords: | Klein-Gordon equation F-expansion method nonlinear partial differential equation periodic wave solution solitary wave solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
