Generation of solitons and periodic wave trains in birefringent optical fibers

We investigate the existence and propagation properties of all possible types of envelope soliton pulses in a birefringent optical fiber wherein the light propagation is governed by two coupled nonlinear Schr & ouml;dinger equations with coherent and incoherent nonlinear couplings. Especially, we study the existence of optical solitons under the influence of group-velocity dispersion and third-order nonlinearity, which have physical relevance in the context of elliptical core optical fiber. The results show that the waveguiding medium supports the existence of a wide variety of propagating envelope solitons, including dipole-bright, bright-dipole, bright-dark, dark-bright, W-shaped-dipole and dipole-W-shaped pulses which exhibit different characteristics. Interestingly, we find that the obtained soliton pulses are allowable in both the normal and anomalous dispersion regimes. A wide class of exact analytic periodic (elliptic) wave solutions are identified. This illustrates the potentially rich set of localized pulses and nonlinear periodic waves in birefringent optical fiber media.