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