Nonlinear tunneling of bright and dark rogue waves in combined nonlinear Schrödinger and Maxwell-Bloch systems

Abstract

We derive the analytical rogue wave solutions for the generalized inhomogeneous nonlinear Schrödinger–Maxwell–Bloch (GINLS-MB) equation describing the pulse propagation in erbium-doped fibre system. Then by suitably choosing the inhomogeneous parameters, we delineate the tunneling properties of rogue waves through dispersion and nonlinearity barriers or wells. Finally, we demonstrate the propagating characteristics of optical solitons by considering their tunneling through periodic barriers by the proper choice of external potential.

Keywords:

• Rogue wave solutions
• inhomogeneous nonlinear Schrödinger–Maxwell–Bloch equation
• nonlinear tunneling
• external potential

Notes

No potential conflict of interest was reported by the authors.