修正高阶非线性薛定锷方程的解析孤波解(英文)

Exact Solutions for Extended Higher-order Nonlinear Schrdinger Equation Including Raman Self-frequency Shift

解析求解了考虑喇曼自频移效应后的修正高阶非线性薛定锷方程 为了获得精确解 ,引入了非线性增益和失谐效应 结果给出精确亮孤波解和暗孤波解的表达式 ,同时给出了两种解存在的参量条件 ,并且指出亮孤波解存在于负三阶色散区 。

An extended higher-order nonlinear Schrdinger equation including the self-frequency shift effect caused by Raman gain is solved. This equation is used to describe the propagation of subpicosecond and femtosecond optical pulses in fibers. To get exact solutions, nonlinear gain and nonresonant effect are considered. As a result, the exact bright and dark solitary wave solutions are obtained. 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 dispersion regime.