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 
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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     author = {G. L. Zavorokhin and A. A. Matskovskiy},
     title = {A nonstationary problem of diffraction of acoustic waves from a point source by an interface of two half-planes with positive effective curvature},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {69--78},
     year = {2019},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_483_a4/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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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