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Nonlinear deformation of a large-amplitude wave on shallow water

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References

  1. N. E. Vol’tsinger, K. A. Klevannyi, and E. N. Pelinovsky, Long-Wave Dynamics of Costal Zone (Gidrometeoizdat, Leningrad, 1989) [in Russian].

    Google Scholar 

  2. K. I. Volyak, A. S. Gorshkov, and O. V. Rudenko, Vestn. Mosk. Univ. Ser. Fiz., Astron., No. 1, 32 (1975)

  3. S. N. Gurbatov, A. N. Malakhov, and A. I. Saichev, Nonlinear Random Waves and Turbulence in Nondispersion Media: Waves, Rays, Particles (Manchester Univ., Manchester, 1991).

    Google Scholar 

  4. I. I. Didenkulova, N. Zaibo, A. A. Kurkin, and E. N. Pelinovsky, Izv. Atmosph. Oceanic Physics 42(6), 773 (2006).

    Article  ADS  MATH  Google Scholar 

  5. S. Nakamura, Trudy SakhKNII, No. 32, 129 (1973).

  6. E. N. Pelinovsky, Nonlinear Dynamics of Tsunami Waves (IPF Akad. Nauk SSSR, Gor’kii, 1982) [in Russian].

    Google Scholar 

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

    Google Scholar 

  8. J. Stoker, Water Waves (New York, Wiley, 1957).

    MATH  Google Scholar 

  9. J.-G. Caputo and Y. A. Stepanyants, Nonlin. Processes in Geophys. 10, 407 (2003).

    Article  ADS  Google Scholar 

  10. R. J. LeVeque, Finite-Volume Methods for Hyperbolic Problems (Cambridge Univ. Press, Cambridge, 2004).

    Google Scholar 

  11. Y. Tsuji, T. Yanuma, I. Murata, and C. Fujiwara, Natural Hazards 4, 257 (1991).

    Article  Google Scholar 

  12. N. Zahibo, E. Pelinovsky, T. Talipova, et al., Appl. Math. Comput. 174(2), 795 (2006).

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, Nizhni Novgorod, 603600, Russia

    E. N. Pelinovsky & A. A. Rodin

  2. Nizhni Novgorod State Technical University, Nizhni Novgorod, 603600, Russia

    E. N. Pelinovsky & A. A. Rodin

Authors
  1. E. N. Pelinovsky
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  2. A. A. Rodin
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Correspondence to E. N. Pelinovsky.

Additional information

Original Russian Text © E.N. Pelinovsky, A.A. Rodin, 2011, published in Doklady Akademii Nauk, 2011, Vol. 438, No. 3, pp. 337–340.

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Pelinovsky, E.N., Rodin, A.A. Nonlinear deformation of a large-amplitude wave on shallow water. Dokl. Phys. 56, 305–308 (2011). https://doi.org/10.1134/S1028335811050119

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  • DOI: https://doi.org/10.1134/S1028335811050119

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