Self-similar rogue waves and nonlinear tunneling effects in inhomogeneous nonlinear fiber optics

Abstract

Analytical first- and second-order rogue wave solutions of the inhomogeneous modified nonlinear Schrödinger equation are presented by using similarity transformation. Then, by the proper choices of the inhomogeneous coefficients and free parameters, the controllable behaviors of the optical rogue waves are graphically discussed in the nonlinear fiber optics context. It is found that the width of the rogue wave can be tuned by adjusting the parameter and the locations of the rogue waves are linearly controlled by the parameter . The intensities of the rogue waves are influenced by the inhomogeneous linear gain/loss coefficient and parameter . The dispersion management function has effects on the periods and trajectories of the rogue waves and can induce maintenance (or annihilation) along direction. Interestingly, the composite rogue waves are revealed, the location of which is manipulated through changing the dispersion management function . Additionally, the nonlinear tunneling of those rogue waves is investigated as they propagate through a dispersion barrier (or well) and nonlinear barrier (or well).