Dmitriev, P. B. Diffraction of a plane wave by a half-plane in a rotating liquid taking capillary forces into account. (English. Russian original) Zbl 0702.76112 U.S.S.R. Comput. Math. Math. Phys. 28, No. 5, 20-27 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 9, 1311-1320 (1988). Summary: The problem of the diffraction of a plane wave by a half-plane in a medium which satisfies the equation for capillary gravitational- gyroscopic waves on shallow water is considered. A solution to this problem is constructed using the Wiener-Hopf method. The field at considerable distances from the edge of the half-plane is investigated. MSC: 76U05 General theory of rotating fluids 76B45 Capillarity (surface tension) for incompressible inviscid fluids 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction Keywords:diffraction of a plane wave; capillary gravitational-gyroscopic waves; shallow water; Wiener-Hopf method PDFBibTeX XMLCite \textit{P. B. Dmitriev}, U.S.S.R. Comput. Math. Math. Phys. 28, No. 5, 20--27 (1988; Zbl 0702.76112); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 9, 1311--1320 (1988) Full Text: DOI