  In this work, we investigated the spatial evolution of optical power in a
closed-form optical waveguide configuration consisting of six passive
waveguides and each of the waveguides exhibits equal strength of Kerr
nonlinearity. We considered only nearest neighbor interaction between the
waveguides. We found that in the case of low Kerr nonlinearity, evolution of
optical power shows synchronization behavior. But when we increased the
strength of Kerr nonlinearity, we discovered that spatial evolution of optical
power in all waveguides shows independent characteristics. On the other hand,
we have studied the impact of the coupling constant on the synchronization
dynamics of our system. Our findings showed us that strong coupling can
strengthen the collective dynamics in the presence of strong Kerr nonlinearity.
From our results, we can conclude that Kerr nonlinearity in our system plays
the role of disorder parameter that destroys as well as alters the
synchronization behavior of evolution of optical power in the waveguides and
coupling constant plays the role of an antagonist and restores synchronization
in the model.
