The dispersion and non-linearities both occur simultaneously in a system and play an important role in degrading the overall performance of optical communication system and networks. The interest in non-linear fiber optics is expected to continue in view of the current emphasis on the development of the photonics-based technologies for information management. The dispersion and non-linear interactions of fiber material set an upper limit to the amount of information that can be transmitted. The significance of impairments becomes more critical while realizing ultra-high dense wavelength division multiplexed systems (DWDM) that are used to exploit optical bandwidth. Particularly for long haul transmission with number of WDM channels, the accumulated non-linear effects lead to waveform distortion and cross talk between Channels.Therefore, in order to realize broadband optical communication systems and networks, it is imperative to compensate the pulse spreading due to group velocity dispersion (GVD) and fiber non-linearities due to optical kerr's effects.