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Generalized procedure of separation of variables and reduction of nonlinear wave equations

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Ukrainian Mathematical Journal Aims and scope

We propose a generalized procedure of separation of variables for nonlinear wave equations and construct broad classes of exact solutions of these equations that cannot be obtained by the classical Lie method and the method of conditional symmetries.

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Authors and Affiliations

  1. Akademia Pomorska v Słupsku, Słupsk, Poland

    A. F. Barannyk

  2. Poltava Pedagogic University, Poltava, Ukraine

    T. A. Barannyk

  3. National University of Food Technology, Kyiv, Ukraine

    I. I. Yuryk

Authors
  1. A. F. Barannyk
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  2. T. A. Barannyk
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  3. I. I. Yuryk
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 7, pp. 892–905, July, 2009.

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Barannyk, A.F., Barannyk, T.A. & Yuryk, I.I. Generalized procedure of separation of variables and reduction of nonlinear wave equations. Ukr Math J 61, 1055–1074 (2009). https://doi.org/10.1007/s11253-009-0270-5

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  • DOI: https://doi.org/10.1007/s11253-009-0270-5

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