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Classification of Symmetry Properties of the (1 + 2)-Dimensional Reaction–Convection–Diffusion Equation

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We present a classification of the symmetry properties of the (1 + 2)-dimensional reaction–convection– diffusion equation depending on the values of nonlinearities in this equation. The Lie symmetry is used for the construction of invariant ansatzes, reduction, and finding the exact solutions of the analyzed equation.

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Authors and Affiliations

  1. Kondratyuk Poltava National Technical University, Pershotravnevyi Ave., 24, Poltava, 36011, Ukraine

    M. I. Serov, M. M. Serova & Yu. V. Prystavka

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  1. M. I. Serov
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  2. M. M. Serova
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  3. Yu. V. Prystavka
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Correspondence to Yu. V. Prystavka.

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Translated from Neliniini Kolyvannya, Vol. 22, No. 1, pp. 98–117, January–March, 2019.

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Serov, M.I., Serova, M.M. & Prystavka, Y.V. Classification of Symmetry Properties of the (1 + 2)-Dimensional Reaction–Convection–Diffusion Equation. J Math Sci 247, 328–350 (2020). https://doi.org/10.1007/s10958-020-04805-1

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  • DOI: https://doi.org/10.1007/s10958-020-04805-1

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