Solitons in an erbium-doped nonlinear fibre medium with stimulated inelastic scattering

Abstract

We propose the possibility of soliton-type pulse propagation in an optical guide with two-level resonant impurities and high-order effects like: higher-order dispersion, self-steepening, stimulated Raman scattering and stimulated Brillouin scattering. To establish the above results we apply the Painleve singularity structure analysis and find that the system of equations admits the Painleve property only for certain values of the physical parameters involved in the system. The Lax pair of the system equation is explicitly shown. As the system without resonant impurities admits solitons, this system is also expected to admit the remarkable solitons property.