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 
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/
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     title = {Formulas for setting a~location of the wavefront propagating in a~medium with power dependence of velocity on a~coordinate},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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