Vector breather-to-soliton transitions and nonlinear wave interactions induced by higher-order effects in an erbium-doped fiber

Abstract

Vector breather-to-soliton transitions for the higher-order nonlinear Schrödinger–Maxwell–Bloch (NLS–MB) system with sextic terms are investigated. The Lax pair and Darboux transformation (DT) of such system are constructed. With the DT, analytic vector breather solutions up to the second order are obtained. With appropriate choices of the spectra parameters, vector breather-to-soliton transitions happen. Interaction mechanisms of vector nonlinear waves (breather–soliton or soliton–soliton interactions) are displayed.