Geodesic
On matching of the integral asymptotics for a surface wave of interference type with the wavefield of the source
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 50, Tome 493 (2020), pp. 314-322

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The paper is devoted to development of new conception of surface waves propagation along smooth surfaces in $\mathbb R^3$. Matching of integral asymptotics with the source of surface waves provides single-valued form of the integral of localized, in a vicinity of geodesic lines, solutions of the wave equation. 
@article{ZNSL_2020_493_a20,
     author = {M. M. Popov},
     title = {On matching of the integral asymptotics for a surface wave of interference type with the wavefield of the source},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {314--322},
     publisher = {mathdoc},
     volume = {493},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_493_a20/}
}
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M. M. Popov. On matching of the integral asymptotics for a surface wave of interference type with the wavefield of the source. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 50, Tome 493 (2020), pp. 314-322. http://geodesic.mathdoc.fr/item/ZNSL_2020_493_a20/