Propagation of solitary waves in inhomogeneous erbium-doped fibers with third-order dispersion, self-steepening and gain/loss

Abstract

We propose a generalized inhomogeneous Hirota–Maxwell–Bloch system which explains ultrashort optical pulse propagation in an inhomogeneous nonlinear, dispersive fiber doped with two-level resonant atoms. For this system, higher order effects like third-order dispersion and self-steepening are considered, which are assumed to be inhomogeneous together with group velocity dispersion and self-phase modulation. We have obtained a general solitary wave solution by using Lax pair and Bäcklund transformation techniques. We have analyzed various solitary wave forms like snaking solitons, classic solitons and compressed pulses by controlling the physical parameters and inhomogeneous functions.

Keywords:

• optical soliton
• inhomogeneous fiber
• NLS-MB
• Bäcklund transformation
• Lax pair
• soliton control