Pulse Amplification in Dispersion-Decreasing Fibers with Symbolic Computation

摘要

The pulse amplification in the dispersion-decreasing fiber(DDF)is investigated via symbolic computationto solve the variable-coefficient higher-order nonlinear Schr(o|¨)dinger equation with the effects of third-order dispersion,self-steepening,and stimulated Raman scattering.The analytic one-soliton solution of this model is obtained with a setof parametric conditions.Based on this solution,the fundamental soliton is shown to be amplified in the DDF.Thecomparison of the amplitude of pulses for different dispersion profiles of the DDF is also performed through the graphicalanalysis.The results of this paper would be of certain value to the study of signal amplification and pulse compression.