高阶非线性薛定谔方程的一个新型孤波解

A New Exact Solitary Wave Solution for the Higher Order Nonlinear Schrdinger Equation

给出了高阶非线性薛定谔方程的一个新型孤波解,该解描述了满足一定参数条件时光纤中超短光脉冲的传输,解的表达式可以表示为亮孤子和暗孤子和的形式 同时利用分步傅里叶方法在一定微扰条件下对脉冲传输进行了数值模拟.

A new type of solitary wave solution for the higher order nonlinear Schrdinger equation(HNLSE), which governs the propagation of subpicosecond and femtosecond optical pulses in optical fibers under certain parametric conditions,is presented.The expression of this novel solution is composed of the sum of bright and dark solitary waves. The evolution of the solitary wave and its stability under some perturbations are investigated by using the numerical simulation methods.