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Nonlinear transformation of wave packets in weakly dispersive media

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Abstract

We study the propagation of nonlinear modulated waves in weakly dispersive media within the framework of the Korteveg- de Vries equation. It is shown that strong generation of overtones and mean flow by the modulated packet results in asymmetry of the wave packet envelope with respect to both horizontal and vertical axes and makes the envelope skewed. The motion of the wave packet is accompanied by the emission of low-frequency and high-frequency waves that propagate in different directions from the packet. As a result, the mean amplitude of the wave packet decreases with distance.

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References

  1. B. E. Zakharov and A. B. Shabat,Zh. Éksp. Teor. Fiz.,61, 118 (1971).

    Google Scholar 

  2. H. C. Yuen and B. M. Lake,Adv. Appl. Mech.,22, 67 (1982).

    Article  MATH  MathSciNet  Google Scholar 

  3. E. Lo and C. C. Mei,J. Fluid Mech.,150, 395 (1985).

    Article  MATH  ADS  Google Scholar 

  4. E. M. Gromov and V. I. Talanov,Zh. Éksp. Teor. Fiz.,110, 137 (1996).

    Google Scholar 

  5. K. Trulsen and K. Dysthe,J. Fluid Mech.,352, 359 (1997).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. M. W. Dingemans,Water Wave Propagation over Uneven Bottoms, Pt. 2, Nonlinear Wave Propagation, World Scientific, Singapore (1997).

    Google Scholar 

  7. V. Zakharov and E. Kuznetsov,Physica D,18, 455 (1986).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. N. C. Freeman and A. Davey,A311, 1 (1975).

  9. T. Talipova, E. Pelinovsky, and E. Kit,Coastal Dynamics, ASCE (1996), p. 105.

  10. A. S. Fokas and Q. M. Liu,Phys. Rev. Lett.,77, 2347 (1996).

    Article  ADS  MathSciNet  Google Scholar 

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Authors and Affiliations

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

    T. G. Talipova & E. N. Pelinovsky

  2. Tel-Aviv University, Tel-Aviv, Israel

    E. Kit & O. Eitan

Authors
  1. T. G. Talipova
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  2. E. N. Pelinovsky
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  3. E. Kit
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  4. O. Eitan
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 42, No. 4, pp. 354–358, April 1999.

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Talipova, T.G., Pelinovsky, E.N., Kit, E. et al. Nonlinear transformation of wave packets in weakly dispersive media. Radiophys Quantum Electron 42, 315–319 (1999). https://doi.org/10.1007/BF02677574

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  • DOI: https://doi.org/10.1007/BF02677574

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