2017
Том 69
№ 9

All Issues

Conditional Symmetry and Exact Solutions of a Multidimensional Diffusion Equation

Barannik A. F.

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Abstract

We investigate the conditional symmetry of a multidimensional nonlinear reaction–diffusion equation by its reduction to a radial equation. We construct exact solutions of this equation and infinite families of exact solutions for the corresponding one-dimensional diffusion equation.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 10, pp 1715-1721.

Citation Example: Barannik A. F. Conditional Symmetry and Exact Solutions of a Multidimensional Diffusion Equation // Ukr. Mat. Zh. - 2002. - 54, № 10. - pp. 1416-1420.

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