| Ginzburg-Landau方程的椭圆函数解与包络孤立波解 |
| |
| 引用本文： | 杨丽英.Ginzburg-Landau方程的椭圆函数解与包络孤立波解[J].内蒙古师范大学学报(自然科学版),2010,39(1):7-10,17. |
| |
| 作者姓名： | 杨丽英 |
| |
| 作者单位： | 内蒙古农业大学理学院,内蒙古呼和浩特010018 |
| |
| 基金项目： | 国家自然科学基金资助项目(10761005);;内蒙古自然科学基金资助项目(2009MS0102) |
| |
| 摘 要： | 通过对Ginzburg-Landau方程系数的分析,给出其包络波解存在的一个必要条件.利用两类辅助椭圆方程,求得Ginzburg-Landau方程的多种椭圆函数解,其极限情形可以还原为经典的包络孤立波解.
|
| 关 键 词： | Ginzburg-Landau方程 椭圆函数解 包络孤立波解 |
The Elliptic Function Solutions and Envelope Solitary Waves Solutions of Ginzburg-Landau Equation |
| |
| YANG Li-ying.The Elliptic Function Solutions and Envelope Solitary Waves Solutions of Ginzburg-Landau Equation[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2010,39(1):7-10,17. |
| |
| Authors: | YANG Li-ying |
| |
| Institution: | College of Science/a>;Inner Mongolia Agricultural University/a>;Hohhot/a>;010018/a>;China |
| |
| Abstract: | Through analyzing the coefficient of Ginzburg-Landau equation,a necessary condition that Ginzburg-Landau equation has exact analytic solutions is obtained.Using two kinds of auxiliary elliptic equations,the various elliptic function solution of Ginzburg-Landau equation are given.At the case of limitation,these elliptic function solutions degenerate classic envelope solitary waves solutions. |
| |
| Keywords: | Ginzburg-Landau equation elliptic function solution envelope solitary waves solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
