Conditional Lie–Bäcklund Symmetries and Functionally Generalized Separation of Variables to Quasi-Linear Diffusion Equations with Source

Rui Wang, Lina Ji

Type: Article

Publication Date: 2020-05-21

Citations: 1

DOI: https://doi.org/10.3390/sym12050844

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Abstract

The conditional Lie–Bäcklund symmetry method is applied to investigate the functionally generalized separation of variables for quasi-linear diffusion equations with a source. The equations and the admitted conditional Lie–Bäcklund symmetries related to invariant subspaces are identified. The exact solutions possessing the form of the functionally generalized separation of variables are constructed for the resulting equations due to the corresponding symmetry reductions.

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+	Conditional Lie–Bäcklund Symmetries and Invariant Subspaces to Nonlinear Diffusion Equations with Convection and Source	2013	Lina Ji Changzheng Qu
+ PDF Chat	On new exact blow-up solutions for nonlinear heat conduction equations with source and applications	1990	Victor A. Galaktionov
+	Exact polynomial solutions to some nonlinear diffusion equations	1993	John R. King
+	Positivity versus localization in degenerate diffusion equations	1985	Michiel Bertsch Róbert Kersner L. A. Peletier
+	On direct, implicit reductions of a nonlinear diffusion equation with an arbitrary function - generalizations of Clarkson's and Kruskal's method	2000	Simon Hood
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+	New conditional symmetries and exact solutions of reaction–diffusion–convection equations with exponential nonlinearities	2013	Roman Cherniha Oleksii Pliukhin
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+ PDF Chat	Differential constraints and exact solutions of nonlinear diffusion equations	2003	О. В. Капцов Игорь Викторович Веревкин
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