Modulation instability, breathers, and bound solitons in an erbium-doped fiber system with higher-order effects

Abstract

We mainly investigate the generalized nonlinear Schrödinger-Maxwell- Bloch system which governs the propagation of optical solitons in nonlinear erbium-doped fibers with higher-order effects. We deduce Lax pair, analyze modulation instability conditions, construct the Darboux transformation, and derive the Akhmediev breathers, Ma-breathers, bound solitons, and two-breather solutions for this system. Considering the influences of higher-order effects, propagation properties of those solitons are discussed. © 2014 Rui Guo et al.