Метод побудови точних розв’язків нелінійного рівняння теплопровідності $u_t = \left(F(u)u_x \right)_x +G(u)u_x +H(u)$
Abstract
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 equations and construct the classes of exact solutions by the method of generalized separation of variables.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Differential Equations and Boundary Problems
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Ukrains’kyi Matematychnyi Zhurnal
- Volume
- 71
- Issue
- 11
- Pages
- 1443–1454
- Publication date
- 9 February 2026
- Language
- UK