Geodesic
Relatively undistorted waves. New examples
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 30, Tome 275 (2001), pp. 100-103

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New solutions of the wave equation with three spacial variables of the form $u=g(x,y,z,t)f(\theta)$ where $g$ and $\theta=\theta (x,y,z,t)$ are some specialised functions, and $f$ is an arbitrary function of one variable are presented. 
@article{ZNSL_2001_275_a7,
     author = {A. P. Kiselev},
     title = {Relatively undistorted waves. {New} examples},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {100--103},
     publisher = {mathdoc},
     volume = {275},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a7/}
}
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A. P. Kiselev. Relatively undistorted waves. New examples. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 30, Tome 275 (2001), pp. 100-103. http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a7/