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},
year = {2011},
volume = {14},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2011_14_2_a4/}
}
TY - JOUR AU - E. D. Moskalensky TI - Formulas for setting a location of the wavefront propagating in a medium with power dependence of velocity on a coordinate JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2011 SP - 169 EP - 178 VL - 14 IS - 2 UR - http://geodesic.mathdoc.fr/item/SJVM_2011_14_2_a4/ LA - ru ID - SJVM_2011_14_2_a4 ER -
%0 Journal Article %A E. D. Moskalensky %T Formulas for setting a location of the wavefront propagating in a medium with power dependence of velocity on a coordinate %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2011 %P 169-178 %V 14 %N 2 %U http://geodesic.mathdoc.fr/item/SJVM_2011_14_2_a4/ %G ru %F SJVM_2011_14_2_a4
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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