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Nonclassical Symmetries of a System of Nonlinear Reaction-Diffusion Equations

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We study the conditional symmetry of a system of nonlinear reaction-diffusion equations and establish the existence of operators of conditional symmetry for systems of nonlinear reaction-diffusion equations with any number of independent variables and find these operators in the explicit form. The exact solutions of nonlinear reaction-diffusion equations with exponential nonlinearity are constructed.

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  1. Korolenko Poltava National Pedagogic University, Ostrogradski Str., 2, Poltava, 36000, Ukraine

    T. A. Barannyk

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  1. T. A. Barannyk
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Correspondence to T. A. Barannyk.

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Translated from Neliniini Kolyvannya, Vol. 20, No. 4, pp. 451–457, October–December, 2017.

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Barannyk, T.A. Nonclassical Symmetries of a System of Nonlinear Reaction-Diffusion Equations. J Math Sci 238, 207–214 (2019). https://doi.org/10.1007/s10958-019-04229-6

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  • DOI: https://doi.org/10.1007/s10958-019-04229-6

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