Abstract
An analytical third-order small-time expansion is developed for the inviscid, incompressible free-surface flow generated by impulsive deflection of an initially horizontal bottom. The deflection starts with nonzero velocity. The deflection is rapid, which means that its duration is smaller than the gravitational time. The deflection function obeys the constraint of being separable in space and time, but is otherwise arbitrary. Nonlinear effects are taken into account at the bottom as well as at the free surface. Temporal functions are determined to third order. Three special cases are demonstrated.
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