Bright and dark solitons in optical fibers with parabolic law nonlinearity

Abstract

This paper utilizes the ansatz method to obtain bright and dark 1-soliton solution to the nonlinear Schrodinger?s equation with parabolic law nonlinearity in birefringent fibers. There are a few Hamiltonian type perturbation terms taken into account. The exact soliton solution comes with baggages that are referred to as constraint conditions that must hold in order for these solitons to exist.