Canonical perturbation theory and phase space dynamics of solitons in the presence of periodic EDFA-based amplification and dispersion management

In this work a variational approach is applied along with a dual core model for the amplification stage: the active core being the EDFA itself while the passive being a lossy fiber which dissipates the power associated with any induced instability. The method provides a variety of qualitative as well quantitative results for the soliton propagation. According to the variational method, the evolution of certain parameters of the pulse as its amplitude, duration and chirp can be obtained assuming a specific profile shape. This method provides all the major information about soliton oscillations and decay with propagation and it is in good agreement with numerical simulations of realistic systems.