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Traveling Waves in Nondispersive Strongly Inhomogeneous Media

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Abstract

Methods to obtain solutions describing traveling waves in strongly inhomogeneous media are discussed within a linear wave equation with a variable speed (speed of sound). It is shown that there is a wide range of propagation speed variations that allow for the existence of waves that do not reflect despite the strong inhomogeneity of the medium. In this case, the shape of the wave and its characteristics change with distance. These waves can transfer energy over long distances without loss.

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Funding

E.N.P. (Sections 1, 2) acknowledges the support of the Russian Science Foundation (grant no. 19-12-00253). O.V.K. (Section 3) acknowledges the support of the Krasnoyarsk Science Center, funded by the Ministry of Science and Higher Education of the Russian Federation as part of measures to create and develop regional Scientific and Educational Mathematical Centers (agreement no. 075-02-2022-873).

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia

    E. N. Pelinovsky

  2. Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, Russia

    O. V. Kaptsov

Authors
  1. E. N. Pelinovsky
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  2. O. V. Kaptsov
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Corresponding authors

Correspondence to E. N. Pelinovsky or O. V. Kaptsov.

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The authors declare that they have no conflicts of interest.

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Translated by A. Sin’kov

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Pelinovsky, E.N., Kaptsov, O.V. Traveling Waves in Nondispersive Strongly Inhomogeneous Media. Dokl. Phys. 67, 415–419 (2022). https://doi.org/10.1134/S1028335822100081

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  • DOI: https://doi.org/10.1134/S1028335822100081

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