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We present exact rational solution for a modified nonlinearSchr$\ddot{o}$dinger equation that takes into account quintic nonlinearity andnonlinear dispersion corrections to the cubic nonlinearity, which could be usedto describe rogue wave in nonlinear fibers. We find the rogue wave with thesehigher order effects has identical shape with the well-known one in nonlinearSchr$\ddot{o}$dinger equation. However, the quintic nonlinear term andnonlinear dispersion effect affect the velocity of rogue wave, and theevolution of its phase.

The Rogue Waves with Quintic Nonlinearity and Nonlinear Dispersion effects in Nonlinear Optical Fibers