| Chen-Lee-Liu方程的精确解 |
| |
| 引用本文： | 李向正,张金良.Chen-Lee-Liu方程的精确解[J].兰州理工大学学报,2008,34(2):151-154. |
| |
| 作者姓名： | 李向正 张金良 |
| |
| 作者单位： | 河南科技大学,理学院,河南,洛阳,471003 |
| |
| 基金项目： | 河南省教育厅自然科学基金 |
| |
| 摘 要： | 研究在非线性光学等领域出现的Chen-Lee-Liu(CLL)方程的精确解.通过对CLL方程的行波约化导出一个具有高次非线性项的非线性常微分方程.为了解该非线性常微分方程,给出一个新的辅助微分方程及其精确解.借助该辅助微分方程及其精确解,并根据齐次平衡原则,得到CLL方程的包络孤立波解和包络正弦波解.所用方法可应用到其它类似方程的求解.
|
| 关 键 词： | 齐次平衡原则 F展开法 Chen-Lee-Liu方程 包络孤立波解 |
| 文章编号： | 1673-5196(2008)02-0151-04 |
| 修稿时间： | 2007年1月10日 |
Exact solutions of Chen-Lee-Liu equation |
| |
| LI Xiang-zheng,ZHANG Jin-liang.Exact solutions of Chen-Lee-Liu equation[J].Journal of Lanzhou University of Technology,2008,34(2):151-154. |
| |
| Authors: | LI Xiang-zheng ZHANG Jin-liang |
| |
| Abstract: | The exact solutions of Chen-Lee-Liu(CLL) equation occurred in the field of nonlinear optics were investigated.A nonlinear ordinary differential equation(ODE) with higher-order nonlinear terms was derived through a travelling wave reduction of CLL equation.In order to solve this nonlinear ODE,a new subsidiary ODE(Sub-ODE) and its exact solutions were given.With the aid of Sub-ODE as well as its exact solutions and according to the homogeneous balance principle,the envelope solitary wave solutions and envelope sinusoidal wave solutions of CLL equation were obtained.The method used here could be applied to solve other similar equations. |
| |
| Keywords: | homogeneous balance principle F-expansion method Chen-Lee-Liu equation envelope solitary wave solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
