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Parametric generation of low-frequency sound in the propagation of high-intensity modulated noise

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Abstract

With the use of the one-dimensional Burgers equation, the evolution of a high-intensity noise with periodically modulated intensity is analyzed. The nonlinearity is shown to lead to partial suppression of the amplitude modulation and to the generation of a regular low-frequency component. The probability distributions and the power spectra of the field are studied.

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References

  1. J. M. Burgers, The Nonlinear Diffusion Equation (Reidel, Dordrecht, 1974).

    Google Scholar 

  2. O. V. Rudenko and S. I. Soluyan, Theoretical Foundations of Nonlinear Acoustics (Nauka, Moscow, 1975; Consultants Bureau, New York, 1977).

    Google Scholar 

  3. B. K. Novikov, O. V. Rudenko, and V. I. Timoshenko, Nonlinear Underwater Acoustics (Sudostroenie, Leningrad, 1981; Acoustical Society of America, New York, 1987).

    Google Scholar 

  4. V. Gusev, J. Acoust. Soc. Am. 107, 3047 (2000).

    Article  ADS  Google Scholar 

  5. S. N. Gurbatov and C. M. Hedberg, Acustica-Acta Acust. 84, 414 (1998).

    Google Scholar 

  6. R. Courant, Partielle Differentialgleichungen (Gottingen, 1932; Mir, Moscow, 1964) (unpublished lecture notes).

  7. S. N. Gurbatov, A. N. Malakhov, and A. I. Saichev, Nonlinear Random Waves in Nondispersion Media (Nauka, Moscow, 1990), p. 215.

    Google Scholar 

  8. M. R. Leadbetter, G. Lindgren, and H. Rootzen, Extremes and Related Properties of Random Sequences and Processes (Springer, New York, 1983), p. 340.

    Google Scholar 

  9. S. A. Molchanov, D. Surgailis, and W. A. Woyczynski, Commun. Math. Phys. 168, 209 (1995).

    Article  MathSciNet  Google Scholar 

  10. S. N. Gurbatov, S. I. Simdyankin, E. Aurell, et al., J. Fluid. Mech. 344, 339 (1997).

    Article  ADS  MathSciNet  Google Scholar 

  11. S. N. Gurbatov, Phys. Rev. E 61(3), 2595 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  12. W. A. Woyczynski, Burgers-KPZ Turbulence. Gottingen Lectures (Springer, Berlin, 1998), p. 358.

    Google Scholar 

  13. S. N. Gurbatov, B. O. Enflo, and G. V. Pasmanik, Acustica-Acta Acust. 85, 181 (1999).

    Google Scholar 

  14. A. N. Malakhov, Fluctuations in Self-Oscillatory Systems (Nauka, Moscow, 1968).

    Google Scholar 

  15. B. R. Levin, Theoretical Foundations of Statistical Radio Engineering (Sov. Radio, Moscow, 1974), Book 1, p. 551.

    Google Scholar 

  16. A. Noullez and M. Vergassola, J. Sci. Comput. 9, 259 (1994).

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Lobachevskii State University, Nizhni Novgorod, pr. Gagarina 23, Nizhni Novgorod, 603600, Russia

    S. N. Gurbatov, I. Yu. Demin & G. V. Pasmanik

Authors
  1. S. N. Gurbatov
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  2. I. Yu. Demin
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  3. G. V. Pasmanik
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__________

Translated from Akusticheski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Zhurnal, Vol. 47, No. 4, 2001, pp. 474–484.

Original Russian Text Copyright © 2001 by Gurbatov, Demin, Pasmanik.

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Gurbatov, S.N., Demin, I.Y. & Pasmanik, G.V. Parametric generation of low-frequency sound in the propagation of high-intensity modulated noise. Acoust. Phys. 47, 405–414 (2001). https://doi.org/10.1134/1.1385413

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  • DOI: https://doi.org/10.1134/1.1385413

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