Averaged dynamics of optical pulses described by a nonlinear Schrödinger equation with periodic coefficients

The optical pulse propagation described by nonlinear Schrödinger equation (NLSE) was studied. The study devised the averaging dynamics of optical pulses by a periodic coefficients based NLSE. In the equation, the high frequency, variable part of the dispersion was much larger than the mean value, whereas the ratio of the length of dispersion map to the period of a solution was assumed to be small. In this regard, the averaging dynamics study based on Bogolyubov method and the generation of black and bright soliton solutions were discussed.