Exact Solutions for Extended Higher-order Nonlinear Schrdinger Equation Including Raman Self-frequency Shift
修正高阶非线性薛定锷方程的解析孤波解

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.