Chirped super-Gaussian and super-sech pulse parameter dynamics with DWDM topology by variational principle

Abstract

This paper studies multiplexing phenomenon with logarithmic nonlinearities during propagation of ultra-short optical pulses in an optical fiber with several different channels of refractive index. This study is based on the resolution by the Lagrangian variational method of the nonlinear Schrödinger's equation with log-law. The dynamical system of parameter evolution with super-Gaussian and super-sech functions is presented.