Browsing by Subject "Conservation laws"
Now showing items 1-4 of 4
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Article
Conservation laws and hierarchies of potential symmetries for certain diffusion equations
(2009)We show that the so-called hidden potential symmetries considered in a recent paper [M.L. Gandarias, New potential symmetries for some evolution equations, Physica A 387 (2008) 2234-2242] are ordinary potential symmetries ...
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Article
Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities
(2007)A class of variable coefficient (1 + 1)-dimensional nonlinear reaction-diffusion equations of the general form f (x) ut = (g (x) un ux)x + h (x) um is investigated. Different kinds of equivalence groups are constructed ...
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Article
Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities
(2012)The group classification of a class of variable coefficient reaction-diffusion equations with exponential nonlinearities is carried out up to both the equivalence generated by the corresponding generalized equivalence group ...
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Article
Lie group analysis of two-dimensional variable-coefficient Burgers equation
(2010)The modern group analysis of differential equations is used to study a class of two-dimensional variable coefficient Burgers equations. The group classification of this class is performed. Equivalence transformations are ...