Abstract
The generation and propagation of surface waves resulting from suddenly created disturbances over water surfaces is investigated. The initial boundary conditions defining the disturbance are given either by a velocity of the free surface, an initial elevation of the free surface or a pressure impulsively applied on the free surface. It is shown that the corresponding three forms of solutions are related by a simple time derivative. Linear solutions are obtained in the cases where the wave motion is assumed to be nondispersive, mildly dispersive and fully dispersive, as well as in the case where the motion is given by the method of stationary phase. Criteria are established to indicate the limit of validity of each method.
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Wang, S., le Mehaute, B. & Lu, CC. Effect of dispersion on impulsive waves. Marine Geophysical Researches 9, 95–111 (1987). https://doi.org/10.1007/BF00338252
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DOI: https://doi.org/10.1007/BF00338252