Browsing by Subject "Form-preserving transformations"
Now showing items 1-3 of 3
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Article
Further transformation properties of generalised inhomogeneous nonlinear diffusion equations with variable coefficients
(2005)We consider the variable coefficient inhomogeneous nonlinear diffusion equations of the form xput = [xqu nux]x. We present further transformation properties for this nonlinear class of equations that do not appear in the ...
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Article
Group analysis of variable coefficient diffusion-convection equations. I. Enhanced group classification
(2010)We discuss the classical statement of group classification problem and some its extensions in the general case. After that, we carry out the complete extended group classification for a class of (1 + 1)-dimensional nonlinear ...
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Article
Symmetries and form-preserving transformations of generalised inhomogeneous nonlinear diffusion equations
(2003)We consider the variable coefficient inhomogeneous nonlinear diffusion equations of the form f(x)ut = [g(x)unux]x. We present a complete classification of Lie symmetries and form-preserving point transformations in the ...