Variable-coefficient Higher-order Nonlinear Schrodinger Equation Research Articles

Control of interaction between femtosecond dark solitons in inhomogeneous optical fibers

In this paper, we present exact femtosecond one- and two-dark soliton solutions for a variable-coefficient higher-order nonlinear Schrodinger equation via modified Hirota method. The propagation and interaction of femtosecond dark solitons are investigated in inhomogeneous fiber systems. Elastic collision, bound oscillation and parallel propagation can be achieved in both Gaussian distributed parameter system and exponentially periodic distributed parameter system by choosing the appropriate distributed parameters and soliton parameters. The results may be beneficial to the realization of interaction control of femtosecond dark solitons in communication systems.

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

A coupled variable-coefficient higher-order nonlinear Schrodinger 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 \(Z_\mathrm{m}\). Comparing this maximum with values of peak location \(Z_\mathrm{p}\), the initial excitation, peak excitation, rear excitation and periodic excitation are constructed.