Dispersion-managed solitons in the cubic complex Ginzburg-Landau equation as perturbations of nonlinear Schrödinger equation

With the help of the one-dimensional cubic complex Ginzburg-Landau equation (CGLE) as perturbations of the nonlinear Schrödinger equation (NLSE), we derive the equations of motion of pulse parameters called collective variables (CVs), of a pulse propagating in dispersion-managed (DM) fiber optic-links. Equations obtained are investigated numerically in order to view the evolution of pulse parameters along the propagation distance, and also analyse effects of initial amplitude and width on the propagating pulse. A fully numerical simulation of the one-dimensional cubic CGLE as perturbations of NLSE finally tests the results of the CV theory. A good agreement between both method is observed.