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Rayleigh Waves Concentrated in a Small Neighborhood of a Moving Curve

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An analytic expression for a Rayleigh wave concentrated in a small neighborhood of a moving curve is deduced. The cases of inhomogeneous and anisotropic media are considered.

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References

  1. V. P. Maslov, The Complex WKB Method in Nonlinear Equations [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  2. V. M. Babich, “Formal power series and their applications in the mathematical theory of diffraction,” Zap. Nauchn. Semin. POMI, 409, 5–16 (2012).

    Google Scholar 

  3. A. I. Popov, “Wave walls on the surface of a heavy liquid,” Zap. Nauchn. Semin. POMI, 409, 151–177 (2012).

    Google Scholar 

  4. V. M. Babich and A. P. Kiselev, Elastic Waves: High-Frequency Theory, BHV, Petersburg (2014).

    Google Scholar 

  5. V. M. Babich and N. Ya. Kirpichnikova, “A new approach to the Rayleigh wave propagation of elastic surface waves,” Wave Motion, 46, No. 3, 2009–2024 (2004).

    MATH  Google Scholar 

  6. V. M. Babich, V. S. Buldyrev, and I. A. Molotkov, Space-Time Ray Method [in Russian], Izd. LGU, Leningrad (1985).

    Google Scholar 

  7. V. M. Babich and A. I. Popov, “An asymptotic solution of the Hamilton–Jacobi equation concentrated near the surface,” Zap. Nauchn. Semin. POMI, 393, 23–28 (2011).

    Google Scholar 

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Authors and Affiliations

  1. St. Petersburg Department of the Steklov Mathematical Institute RAS, St. Petersburg, Russia

    V. M. Babich

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  1. V. M. Babich
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Correspondence to V. M. Babich.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 438, 2015, pp. 22–35.

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Babich, V.M. Rayleigh Waves Concentrated in a Small Neighborhood of a Moving Curve. J Math Sci 224, 11–19 (2017). https://doi.org/10.1007/s10958-017-3389-1

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  • DOI: https://doi.org/10.1007/s10958-017-3389-1

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