Symmetries and form-preserving transformations of generalised inhomogeneous nonlinear diffusion equations
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Publication:1566161
DOI10.1016/S0378-4371(03)00063-3zbMath1024.35042MaRDI QIDQ1566161
Publication date: 1 June 2003
Published in: Physica A (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Invariance and symmetry properties for PDEs on manifolds (58J70) Solutions to PDEs in closed form (35C05) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
Related Items (15)
Conditional Lie-Bäcklund symmetries to inhomogeneous nonlinear diffusion equations ⋮ On the equivalence groups for (2+1) dimensional nonlinear diffusion equation ⋮ On the classification of similarity solutions of a two-dimensional diffusion-advection equation ⋮ Radial equivalence of nonhomogeneous nonlinear diffusion equations ⋮ 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 ⋮ Invariant subspaces and conditional Lie-Bäcklund symmetries of inhomogeneous nonlinear diffusion equations ⋮ Group classification of systems of diffusion equations ⋮ Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities ⋮ Conditional Lie-Bäcklund symmetries and reductions of the nonlinear diffusion equations with source ⋮ Nonlocal symmetries of systems of evolution equations ⋮ Lie group analysis of a flow with contaminant-modified viscosity ⋮ Classical Lie point symmetry analysis of nonlinear diffusion equations describing thermal energy storage ⋮ Symmetry reductions and solutions for pollutant diffusion in a cylindrical system
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