Email this article Nonclassical Symmetries of a System of Nonlinear Reaction-Diffusion Equations
- Authors: Barannyk T.A.1
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Affiliations:
- Korolenko Poltava National Pedagogic University
- Issue: Vol 238, No 3 (2019)
- Pages: 207-214
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242505
- DOI: https://doi.org/10.1007/s10958-019-04229-6
- ID: 242505
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Abstract
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.
About the authors
T. A. Barannyk
Korolenko Poltava National Pedagogic University
Author for correspondence.
Email: barannykt@rambler.ru
Ukraine, Ostrogradski Str., 2, Poltava, 36000
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