Geodesic
A nonstationary problem of diffraction of acoustic waves from a point source by an interface of two half-planes with positive effective curvature
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 49, Tome 483 (2019), pp. 69-78 Cet article a éte moissonné depuis la source Math-Net.Ru

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A nonstationary problem of diffraction of acoustic waves excited by a point source by an interface between two acoustic media with positive effective curvature is considered. This is a model problem for wave phenomena arising near the ocean bottom in the approximation of the “liquid bottom”. Using the complex analysis techniques, we proposed a method for finding the exact solution to the studied class of problems. We propose a method for constructing exact solutions in the form of an integral representation of the problem stated. 
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G. L. Zavorokhin; A. A. Matskovskiy. A nonstationary problem of diffraction of acoustic waves from a point source by an interface of two half-planes with positive effective curvature. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 49, Tome 483 (2019), pp. 69-78. http://geodesic.mathdoc.fr/item/ZNSL_2019_483_a4/

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