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Traveling wave is a wave in which the positions of maximum and minimum amplitude travel through the medium. An oceanic wave is a disturbance, which is created by a wind flow, shipping and similar object subsequently travels through it from one location to another and transfer energy. Some times rogue type waves are created that may be harmful in clam situation even for harbor and coastal region. Thus modeling of oceanic phenomena in PDEs and their traveling and solitary wave solutions are important fact. The mechanism by which a oceanic solitary wave propagates itself through an ocean involves multi-interaction; traveling through a medium and a crest is moving along from wave to wave. In fact, one would observe a distinct wave pattern (in the form of a sine wave) traveling through the medium. This sine wave pattern continues to move in uninterrupted fashion until it encounters another wave along the medium.