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, the polarization-preserving fibers, birefringent fibers as well as multiple channels have been considered. The study is extended to obtain the adiabatic evolution of soliton parameters in presence of perturbation terms for such fibers. Both Gaussian and super-Gaussian solitons have been considered.