Hidden possibilities in soliton switching through tunneling in erbium doped birefringence fiber with higher order effects

Abstract

In this paper, coupled higher order nonlinear Schrödinger–Maxwell–Bloch equations are studied for the ultrashort pulse propagation in erbium-doped birefringent fiber system. Lax pair is constructed for the CHNLS–MB system. Through the Darboux method and symbolic computation, analytic two-soliton solution is obtained. To analyze the specific problem, we design an optimal system by properly choosing the special form of variable coefficients. Here, using obtained two-soliton solution, tunneling of femtosecond soliton through barrier and well is investigated. While solitons are passing through barrier and well, some unexpected behavior is observed and hidden possibilities in switching action through tunneling is investigated.

Keywords:

• SIT soliton
• soliton switching
• nonlinear tunneling
• femtosecond soliton
• birefringence fiber
• Lax pair
• Darboux transformation