Far surface gravity waves fields under unstable generation regimes

Abstract

Abstract The problem of constructing uniform asymptotics of surface perturbations far fields from a localized harmonic source in the flow of a heavy homogeneous fluid of infinite depth is considered. It is shown that the wave pattern of excited long-range fields is, for certain generation parameters, a system of hybrid wave perturbations which simultaneously exhibit the properties of the following two types: annular-type (transverse) and wedge-type (longitudinal) waves. Specific features of the phase structure and wave fronts are studied. Uniform asymptotics of the solutions which describe the hybrid surface wave perturbations at a far distance from the harmonic source are constructed.