Functional Separation of Variables in Nonlinear PDEs: General Approach, New Solutions of Diffusion-Type Equations

The study gives a brief overview of existing modifications of the method of functional separation of variables for nonlinear PDEs. It proposes a more general approach to the construction of exact solutions to nonlinear equations of applied mathematics and mathematical physics, based on a special tra...

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Autor principal:	Andrei D. Polyanin
Formato:	Artigo
Idioma:	Inglês
Publicado em:	MDPI AG 2020-01-01
coleção:	Mathematics
Assuntos:	functional separation of variables generalized separation of variables exact solutions nonlinear reaction-diffusion equations nonlinear partial differential equations equations of mathematical physics splitting principle nonclassical method of symmetry reductions invariant surface condition differential constraints
Acesso em linha:	https://www.mdpi.com/2227-7390/8/1/90
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