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Nonlinear interaction of internal and surface gravity waves in a two-layer fluid with free surface

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A new nonlinear model of the propagation of wave packets in the system “liquid layer with solid bottom–liquid layer with free surface” is considered. With the use of the method of multiple-scale expansions, the first three linear approximations of the nonlinear problem are obtained. Solutions of problem of the first approximation are constructed and analyzed in detail. It is shown that there exist internal and surface components of the wave field, and their interaction is analyzed.

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Authors and Affiliations

  1. Institute of Hydromechanics, Ukrainian National Academy of Sciences, Kiev, Ukraine

    I. T. Selezov

  2. State Pedagogic University, Kirovograd, Ukraine

    O. V. Avramenko, Yu. V. Gurtovyi & V. V. Naradovyi

Authors
  1. I. T. Selezov
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  2. O. V. Avramenko
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  3. Yu. V. Gurtovyi
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  4. V. V. Naradovyi
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 1, pp. 72–83, January–March, 2009.

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Selezov, I.T., Avramenko, O.V., Gurtovyi, Y.V. et al. Nonlinear interaction of internal and surface gravity waves in a two-layer fluid with free surface. J Math Sci 168, 590–602 (2010). https://doi.org/10.1007/s10958-010-0010-2

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