  In this work, we have studied the traveling wave solution in a nonlinear
Bragg grating structure in which the core of the optical fiber is having
Parity-time (PT) symmetric refractive index distribution. We have found bright
solitary wave solution below the PT-threshold for forward wave and dark
solitary wave solution above the PT-threshold for backward wave. The effects of
increasing the traveling wave speed on the spatio-temporal evolutions of the
analytical solutions have been shown and the emergence of the Optical Rogue
Waves (ORWs) has been explored based on the system parameters.
