Uniform and Nonuniform Asymptotics of Far Surface Fields from a Flashed Localized Source

The problem of surface-wave far-field generation from a localized source that flashed in a heavy liquid of finite depth is investigated. Integral representations of the solution are constructed that describe the structure of wave surface disturbances. The characteristics of the excited wave fields far from the source of disturbances are studied. Uniform and nonuniform asymptotic solutions are constructed that are expressed in terms of the Airy function and its derivative, which make it possible to describe the far fields of surface perturbations both near and far from the wave front.