Geodesic
Formulas for setting a~location of the wavefront propagating in a~medium with power dependence of velocity on a~coordinate
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 2, pp. 169-178

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In this paper, the 2D eikonal equation $f_x^2+f_y^2=(ky)^{2\alpha}$ is considered. If $f$ is its solution, the relation $f(x,y)=C$ sets the wavefront location. However, obtaining solutions is associated with some difficulties. In this paper, the author develops the earlier proposed technique that enables the detection of a parametric curve to set the wavefront without solving the above equation. 
@article{SJVM_2011_14_2_a4,
     author = {E. D. Moskalensky},
     title = {Formulas for setting a~location of the wavefront propagating in a~medium with power dependence of velocity on a~coordinate},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {169--178},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2011_14_2_a4/}
}
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E. D. Moskalensky. Formulas for setting a~location of the wavefront propagating in a~medium with power dependence of velocity on a~coordinate. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 2, pp. 169-178. http://geodesic.mathdoc.fr/item/SJVM_2011_14_2_a4/