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Generalized separation of variables and exact solutions of nonlinear equations

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Ukrainian Mathematical Journal Aims and scope

We consider a generalized procedure of separation of variables in nonlinear hyperbolic-type equations and Korteweg–de-Vries-type equations. We construct a broad class of exact solutions of these equations that cannot be obtained by the Lie method and method of conditional symmetries.

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Authors and Affiliations

  1. Institute of Mathematics, Pomeranian Academy, Słupsk, Poland

    A. F. Barannyk

  2. Poltava National 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. 62, No. 12, pp. 1598–1608, December, 2010.

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Barannyk, A.F., Barannyk, T.A. & Yuryk, I.I. Generalized separation of variables and exact solutions of nonlinear equations. Ukr Math J 62, 1852–1865 (2011). https://doi.org/10.1007/s11253-011-0475-2

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  • DOI: https://doi.org/10.1007/s11253-011-0475-2

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