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On finding exact solutions of the two-dimensional eikonal equation when the front of the wave propagating in a medium is a circle

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Abstract

Wave propagation in a two-dimensional medium is considered in the case when the wave front 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? General characteristics and examples of such media are given.

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References

  1. Gurvich, I.I. and Boganik, G.N., Seismicheskaya razvedka (Seismic Survey), Moscow: Nedra, 1980.

    Google Scholar 

  2. Savelov, A.A., Ploskie krivye. Sistematika, svoistva, primeneniya (Plane Curves. Systematics, Properties, Applications), Moscow: Librokom, 2010.

    Google Scholar 

  3. Moskalensky, E.D., On Finding Exact Solutions of a Two-Dimensional Eikonal Equation, Sib. Zh. Vych. Mat., 2009, vol. 12, no. 2, pp. 201–209.

    MATH  Google Scholar 

  4. Entsiklopediya elementarnoi matematiki. Kniga 4. Geometriya (Encyclopedia of Elementary Mathematics. Book 4. Geometry), Moscow: Gos. Izd. Fiz.-Mat. Lit., 1963.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia

    E. D. Moskalensky

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  1. E. D. Moskalensky
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Correspondence to E. D. Moskalensky.

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Original Russian Text © E.D. Moskalensky, 2014, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2014, Vol. 17, No. 4, pp. 363–372.

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Moskalensky, E.D. On finding exact solutions of the two-dimensional eikonal equation when the front of the wave propagating in a medium is a circle. Numer. Analys. Appl. 7, 304–313 (2014). https://doi.org/10.1134/S1995423914040053

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  • DOI: https://doi.org/10.1134/S1995423914040053

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