高阶非线性薛定谔方程的精确周期解和孤波解

Exact jacobian periodic wave and solitary wave excitations for Higher-order nonlinear Schrdinger equation

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。

By using the traveling wave reduction method, the exact solutions of the higher-order nonlinear Schr（oe）dinger 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.