Geodesic
On finding exact solutions of the two-dimensional eikonal equation when the front of the wave propagating in a~medium is a~circle
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 4, pp. 363-372

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Wave propagation in a two-dimensional medium is considered in the case when the front of the wave is a circle with the center $(a(t),0)$ and radius $r(t)$. A question is posed: what is the distribution of velocity in the medium? Common characteristics and examples of such media are given. 
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     author = {E. D. Moskalensky},
     title = {On finding exact solutions of the two-dimensional eikonal equation when the front of the wave propagating in a~medium is a~circle},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {363--372},
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E. D. Moskalensky. On finding exact solutions of the two-dimensional eikonal equation when the front of the wave propagating in a~medium is a~circle. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 4, pp. 363-372. http://geodesic.mathdoc.fr/item/SJVM_2014_17_4_a4/