Controllable behaviors of Peregrine soliton with two peaks in a birefringent fiber with higher-order effects

Abstract

A coupled variable-coefficient higher-order nonlinear Schrödinger equation in birefringent fiber is discussed, and an analytical Peregrine soliton solution with two peaks is derived by means of the Darboux transformation method. The controllable behaviors of this Peregrine soliton with two peaks are investigated in a periodic dispersion system and a dispersion decreasing fiber with exponential profile. In these systems, the effective propagation distance Z appears a maximum Z m . Comparing this maximum with values of peak location Z p , the initial excitation, peak excitation, rear excitation and periodic excitation are constructed.

Storage, Splitting, and Routing of Optical Peregrine Solitons in a Coherent Atomic System

“…There have been considerable interests on Peregrine solitons occurring in a variety of physical systems . Many efforts have also been devoted to the new understanding of Peregrine solitons through the analysis of other types of nonlinear partial differential equations [40][41][42][43][44][45][46][47][48][49][50][51].…”

Breather-to-soliton and rogue wave-to-soliton transitions in a resonant erbium-doped fiber system with higher-order effects

“…[16,17,18,19]. Solitons, breathers, and RWs are different types of nonlinear localized waves and are central objects in diverse nonlinear physical systems [20,21,22,23,24,25,26,27,28,29,30]. The hybrid solutions, which are expressed in forms of the mixed rationalexponential functions, describe the nonlinear superposition of the RW and breather [31].…”