Classification of potential symmetries of generalised inhomogeneous nonlinear diffusion equations

DOI10.1016/S0378-4371(02)01591-1zbMath1010.35059MaRDI QIDQ1859790

Christodoulos Sophocleous

Publication date: 19 February 2003

Published in: Physica A (Search for Journal in Brave)

zbMATH Keywords

similarity solutionsnonlocal symmetrieslinearising mappings

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55)

Related Items (14)

Conditional Lie-Bäcklund symmetries and differential constraints for inhomogeneous nonlinear diffusion equations due to linear determining equations ⋮ Conditional Lie-Bäcklund symmetries to inhomogeneous nonlinear diffusion equations ⋮ ON THE NOTION OF CONDITIONAL SYMMETRY OF DIFFERENTIAL EQUATIONS ⋮ On the classification of similarity solutions of a two-dimensional diffusion-advection equation ⋮ Generation solutions algorithms for the class of inhomogeneous nonlinear diffusion equations ⋮ Symmetry analysis and group-invariant solutions to inhomogeneous nonlinear diffusion equation ⋮ On the group classification of variable-coefficient nonlinear diffusion--convection equations ⋮ ON THE NOTION OF CONDITIONAL SYMMETRY OF DIFFERENTIAL EQUATIONS ⋮ Conditional Lie-Bäcklund symmetries and reductions of the nonlinear diffusion equations with source ⋮ Nonclassical symmetry reductions for an inhomogeneous nonlinear diffusion equation ⋮ Lie symmetries and invariants for a 2D nonlinear heat equation ⋮ Group analysis of variable coefficient diffusion-convection equations. I: Enhanced group classification ⋮ Symmetries and form-preserving transformations of generalised inhomogeneous nonlinear diffusion equations ⋮ Group-theoretical framework for potential symmetries of evolution equations

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