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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2018, Volume 21, Number 3, Pages 259–271
DOI: https://doi.org/10.15372/SJNM20180303 (Mi sjvm683) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The novel class of exact solutions of the two-dimensional eikonal equation when the velocity in a medium depends on one spatial coordinate

E. D. Moskalensky

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev av., Novosibirsk, 630090, Russia
Full-text PDF (1581 kB) Citations (1) English version article
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DOI: https://doi.org/10.15372/SJNM20180303
Abstract: The method to obtain solutions of the two-dimensional eikonal equation has been developed for the case when the velocity of wave propagation in a medium depends only on one spatial coordinate. We present several examples, where the initial problem is transformed to one or several ordinary differential equations using the substitution of the solution into a suitable general form. The dynamics of the wave propagation for each solution obtained is illustrated.
Key words: wave propagation, front of wave, eikonal equation.
Received: 12.05.2017
Revised: 14.08.2017
English version:
Numerical Analysis and Applications, 2018, Volume 11, Issue 3, Pages 208–219
DOI: https://doi.org/10.1134/S1995423918030035
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: E. D. Moskalensky, “The novel class of exact solutions of the two-dimensional eikonal equation when the velocity in a medium depends on one spatial coordinate”, Sib. Zh. Vychisl. Mat., 21:3 (2018), 259–271; Num. Anal. Appl., 11:3 (2018), 208–219
Citation in format AMSBIB
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