Group analysis of variable coefficient diffusion-convection equations. I. Enhanced group classification
نویسندگان
چکیده
منابع مشابه
Enhanced Group Analysis and Conservation Laws of Variable Coefficient Reaction–Diffusion Equations with Power Nonlinearities
A class of variable coefficient (1+1)-dimensional nonlinear reaction–diffusion equations of the general form f(x)ut = (g(x)u nux)x + h(x)u m is investigated. Different kinds of equivalence groups are constructed including ones with transformations which are nonlocal with respect to arbitrary elements. For the class under consideration the complete group classification is performed with respect ...
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We study local conservation laws of variable coefficient diffusion–convection equations of the form f(x)ut = (g(x)A(u)ux)x + h(x)B(u)ux. The main tool of our investigation is the notion of equivalence of conservation laws with respect to the equivalence groups. That is why, for the class under consideration we first construct the usual equivalence group G∼ and the extended one Ĝ∼ including tran...
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ژورنال
عنوان ژورنال: Lobachevskii Journal of Mathematics
سال: 2010
ISSN: 1995-0802,1818-9962
DOI: 10.1134/s1995080210020034