Geodesic
Existence of space waves on the surface of ideal fluid
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 211-219 
P. I. Plotnikov. Existence of space waves on the surface of ideal fluid. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 11, Tome 84 (1979), pp. 211-219. http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a15/
@article{ZNSL_1979_84_a15,
     author = {P. I. Plotnikov},
     title = {Existence of space waves on the surface of ideal fluid},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {211--219},
     year = {1979},
     volume = {84},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_84_a15/}
}
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The problem concerning the three-dimensional gravitational periodic waves on the surface of ideal fluid is discussed. The existence theorem is proved.