Solution of the nonlinear Schr?dinger equation using the generalized Lie group reduction method

Abstract

In this paper, by using the technique of generalized Lie group reduction, the exact solutions of the nonlinear Schrdinger equation with distributed dispersion, nonlinearity, and gain (or loss) are obtained. And, the potential application of the general solitary wave solutions and the chirped solitary wave solutions in optical fibers communication and optical fibers amplifiers have also been studied thoroughly. This will provide the possibility in making new optical fibers amplifiers.