Analysis of the extreme kinematic behavior that describes marine wave group velocity
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Abstract
This study concerns the kinematic manifestations exhibited among marine parameters. This is more identified when the sea body varies slowly. Wave group speed is described in this study due to its obvious relation with wave group energy fluxes. Wave group speed is one of the parameters of ocean. On a slowly varying ocean, the evolution of wave group velocity is governed by the kinematic quasilinear differential equation; thus, it follows the characteristic lines with their inherent inter- crossing, which may lead to the development of shock waves in the process. In the event of sea waves with large amplitudes, extreme growth that describes wave group velocity increases the energy fluxes in the process. The behavior of the group wave velocity established in this analysis modifies the wave amplitude growth but also increases the wave energy fluxes significantly. The situation may increase the destructive tendency which is usually observed. This is likely followed by the appearance of the induced large amplitude sea wave train and associated enhanced energy fluxes.