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 . Comparing this maximum with values of peak location , the initial excitation, peak excitation, rear excitation and periodic excitation are constructed.