Two-dimensional free surface flows generated by a moving disturbance are considered. The flows are\nassumed to be potential. The effects of electric field, gravity and surface tension are included in the dynamic\nboundary condition. The disturbance is chosen to be a distribution of pressure moving at a constant velocity. Both\nlinear and nonlinear results are presented. For some values of the parameters, the linear theory predicts unbounded\ndisplacements of the free surface. It is shown that this nonuniformity is removed by developing a weakly nonlinear\ntheory. There are then solutions which are perturbations of a uniform stream and others which are perturbations of\nsolitary waves with decaying tails.
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