Abstract
The variational principle is employed to study chirped solitons that propagate through optical fibers and is governed by the dispersion-managed nonlinear Schrödinger's equation. Here, in this paper, we have considered both kinds of fibers namely polarization preserving and birefringent type. The study is extended to obtain the adiabatic evolution of the parameters of such solitons in presence of perturbation terms for both types of fibers.