| 高阶非线性薛定谔方程的精确周期解和孤波解 |
| |
| 引用本文： | 朱加民,吴红玉.高阶非线性薛定谔方程的精确周期解和孤波解[J].原子与分子物理学报,2005,22(3):541-544. |
| |
| 作者姓名： | 朱加民 吴红玉 |
| |
| 作者单位： | 浙江丽水学院物理系,丽水,323000 |
| |
| 基金项目： | 国家自然科学基金(批准号:10172056)资助的课题 |
| |
| 摘 要： | 本文利用行波约化方法,研究了用于描述飞秒光脉冲传输的高阶非线性薛定谔方程,得到了它的包络型Jacobian椭圆函数双周期解和孤波解.分析结果表明亮孤子的存在依赖于负三阶色散效应,暗孤子的存在依赖于正三阶色散效应.
|
| 关 键 词： | 高阶非线性薛定谔方程 Jacobian椭圆函数解 孤波解 |
| 文章编号： | 1000-0364（2005）03-0541-04 |
| 收稿时间： | 10 19 2004 12:00AM |
| 修稿时间： | 2004-10-19 |
Exact jacobian periodic wave and solitary wave excitations for Higher-order nonlinear Schr(..o)dinger equation |
| |
| ZHU Jia-min,WU Hong-yu.Exact jacobian periodic wave and solitary wave excitations for Higher-order nonlinear Schr(..o)dinger equation[J].Journal of Atomic and Molecular Physics,2005,22(3):541-544. |
| |
| Authors: | ZHU Jia-min WU Hong-yu |
| |
| Abstract: | By using the traveling wave reduction method, the exact solutions of the higher-order nonlinear Schrdinger equation are obtained which included Jacobian elliptic function solution and solitary wave solution. This equation is used to describe the progation of femtosecond optical pulses in fibers. Moreover it is pointed out that the bright solitary wave exists in negative third-order dispersion regime and the dark solitary wave exists in positive third-order dispersive regime. |
| |
| Keywords: | Higher-order nonlinear Schrdinger equation Jacobian elliptic function solution Solitary wave solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《原子与分子物理学报》浏览原始摘要信息 |
| 点击此处可从《原子与分子物理学报》下载免费的PDF全文 |
