The rogue waves with quintic nonlinearity and nonlinear dispersion effects in nonlinear optical fibers

Abstract

We study on rogue waves in a nonlinear fiber with cubic and quintic nonlinearities, linear and nonlinear dispersion effects. We find the rogue wave with these higher order effects has identical shape with the well-known one in nonlinear Schro¨dinger equation. However, the quintic nonlinear term and nonlinear dispersion effect affect the velocity of rogue wave, and the evolution of its phase.