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On asymptotic approximations for slow wave processes in nonlinear dispersive media

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Abstract

We consider the application of asymptotic methods of nonlinear mechanics (the Krylov-Bogolyubov-Mitropol’skii method) and the method of separation of motions in nonlinear systems for the construction of an approximate solution of a nonlinear equation that describes a nonstationary wave process.

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References

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    Yu. A. Mitropol’skii

  2. International Mathematical Center, Ukrainian Academy of Sciences, Kiev

    O. S. Limarchenko

Authors
  1. Yu. A. Mitropol’skii
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  2. O. S. Limarchenko
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 3, pp. 357–371, March, 1998.

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Mitropol’skii, Y.A., Limarchenko, O.S. On asymptotic approximations for slow wave processes in nonlinear dispersive media. Ukr Math J 50, 408–424 (1998). https://doi.org/10.1007/BF02528806

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  • DOI: https://doi.org/10.1007/BF02528806

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