  In this paper we propose an extended Kundu-Eckhaus equation (KEE) for
modeling the dynamics of skewed rogue waves emerging in the vicinity of a wave
blocking point due to opposing current. The equation we propose is a KEE with
an additional potential term therefore the results presented in this paper can
easily be generalized to study the quantum tunneling properties of the rogue
waves and ultrashort (femtosecond) pulses of the KEE. In the frame of the
extended KEE, we numerically show that the chaotic perturbations of the ocean
current trigger the occurrence of the rogue waves on the ocean surface. We
propose and implement a split-step scheme and show that the extended KEE that
we propose is unstable against random chaotic perturbations in the current
profile. These perturbations transform the monochromatic wave field into a
chaotic sea state with many peaks. We numerically show that the shapes of rogue
waves due to perturbations in the current profile closely follow the form of
rational rogue wave solutions, especially for the central peak. We also discuss
the effects of magnitude of the chaotic current perturbations on the statistics
of the rogue wave occurrence.
