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Solitary waves in a weakly stratified two-layer fluid

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Abstract

A problem on stationary waves on the interface between a homogeneous fluid and an exponentially stratified fluid is considered. The density difference on the interface being assumed to have the same order of smallness as the density gradient of the fluid inside the stratified layer, an equation of the second-order shallow water approximation is derived for description of propagation of finite-amplitude solitary waves.

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References

  1. L. V. Ovsyannikov, “Second-order approximation in the shallow water theory,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 175 (1980).

  2. L. V. Ovsyannikov, N. I. Makarenko, V. I. Nalimov, et al., Nonlinear Problems of the Theory of Surface and Internal Waves [in Russian], Nauka, Novosibirsk (1985).

    Google Scholar 

  3. A. G. Voronovich, “Strong solitary internal waves in a 2.5-layer model,” J. Fluid Mech., 474, 85–94 (2003).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. N. I. Makarenko and Zh. L. Mal’tseva, “Asymptotic models of internal stationary waves,” J. Appl. Mech. Tech. Phys., 49, No. 4, 646–654 (2008).

    Article  ADS  MathSciNet  Google Scholar 

  5. A. Kh. Khrgian, Physics of Atmosphere [in Russian], Izd. Mosk. Univ., Moscow (1986).

    Google Scholar 

  6. L. T. Matveev, Course of General Meteorology. Physics of Atmosphere [in Russian], Gidrometeoizdat, Leningrad (1984).

    Google Scholar 

  7. M. P. Vukalovich and I. I. Novikov, Engineering Thermodynamics [in Russian], Gosénergoizdat, Moscow-Leningrad (1955).

    Google Scholar 

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Correspondence to N. I. Makarenko.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 2, pp. 72–78, March–April, 2009.

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Makarenko, N.I., Mal’tseva, Z.L. Solitary waves in a weakly stratified two-layer fluid. J Appl Mech Tech Phy 50, 229–234 (2009). https://doi.org/10.1007/s10808-009-0031-0

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  • DOI: https://doi.org/10.1007/s10808-009-0031-0

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