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A method for the construction of exact solutions to the nonlinear heat equation $u_t = \left(F(u)u_x \right)_x +G(u)u_x +H(u)$

UDC 517.9 We propose a method for the construction of exact solutions to the nonlinear heat equation based on the classical method of separation of variables and its generalization. We consider substitutions used to reduce the nonlinear heat equation to a system of two ordinary differential equati...

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Bibliographic Details
Date:	2026
Main Authors:	Barannyk, T. A., Barannyk, A. F., Yuryk, I. I., Баранник, Т. А., Баранник, А. Ф., Юрик, І. І.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2026
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1527
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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