高阶非线性薛定谔方程的精确解研究  

Exact Solutions of Higher-order Nonlinear Schrdinger Equation

作　　者：朱加民[1] 

机构地区：[1]浙江丽水学院物理系,浙江丽水323000

出　　处：《激光与红外》2006年第5期389-391,共3页Laser & Infrared

基　　金：国家自然科学基金资助项目(No.10172056)

摘　　要：文章基于分数变换原理,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,得到了它的各种包络型Jacobian椭圆函数双周期解和新型亮孤波解。分析结果表明:这种亮孤子的存在依赖于正三阶色散效应。By using the fractional transformation method, the exact solutions of the higher-order nonlinear Sehroedinger equation are obtained which included Jacobian elliptic function solutionand new solitary wave solution. This equation is used to describe the progation of femtosecond optical pulses in fibers. Moreover it is pointed out that the new bright solitary wave exists in positive third-order dispersion regime.

关 键 词：高阶非线性薛定谔方程 分数变换 孤波解 

分 类 号：O572.3[理学—粒子物理与原子核物理]