Geodesic
The sound field of source, accomplishing in liquid layer the motion equal to sum of subsonic uniform rectilinear and periodic motions. Explicit solutions
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 30, Tome 275 (2001), pp. 233-248

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The article is devoted to problem of sound field, generated in liquid layer by moving point source, whose start time is infinitely distant in the past. Properties of layer and source in the paper are selected so, that it is possible to separate one after another all variables in some moving coordinate system and so to construct solution of the problem in the form of triple series. Explicit expressions, obtained in the article for terms of this series, out of some neighbourhood of the source are products of elementary and known special functions of coordinates and time. 
@article{ZNSL_2001_275_a16,
     author = {A. V. Sokolov},
     title = {The sound field of source, accomplishing in liquid layer the motion equal to sum of subsonic uniform rectilinear and periodic motions. {Explicit} solutions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {233--248},
     publisher = {mathdoc},
     volume = {275},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a16/}
}
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A. V. Sokolov. The sound field of source, accomplishing in liquid layer the motion equal to sum of subsonic uniform rectilinear and periodic motions. Explicit solutions. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 30, Tome 275 (2001), pp. 233-248. http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a16/