Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system

Abstract

Recent progress in optical fibers is impressive, while nonlinear Schrödinger-type models are seen in fiber optics and other fields (such as ferromagnetism, plasma physics, Bose–Einstein condensation and oceanography). Hereby, our symbolic computation on a three-coupled variable-coefficient nonlinear Schrödinger system is performed, for the picosecond-pulse attenuation/amplification in a multicomponent inhomogeneous optical fiber with diverse polarizations/frequencies. For the slowly-varying envelopes of optical modes, we obtain a similarity reduction, an auto-Bäcklund transformation and some analytic solutions, which rely on the optical-fiber variable coefficients, i.e., the fiber loss/gain, nonlinearity and group velocity dispersion. Relevant variable-coefficient constraints are presented. Our results might be of some use in the construction of logic gates, optical computing, soliton switching, design of fiber directional couplers, quantum information processing, soliton amplification in the wavelength division multiplexing systems, solitonic studies in the all-optical devices and birefringence fiber systems.