Conditional Lie–Bäcklund symmetries and solutions of inhomogeneous nonlinear diffusion equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2010 English Publisher:Elsevier BVJournal:Physica A: Statistical Mechanics and its Applications, volume 389, pages 5,655-5,661 (issn: 0378-4371,

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Authors: Lina Ji;

doi: 10.1016/j.physa.2010.08.056

Conditional Lie–Bäcklund symmetries and solutions of inhomogeneous nonlinear diffusion equations

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Abstract

Abstract The second-order conditional Lie–Backlund symmetries of nonlinear diffusion equations with variable coefficients are studied. A number of examples are considered and some exact solutions are constructed via the compatibility of conditional Lie–Backlund symmetries and the governing equations. These solutions possess the extended forms of the separation of variables, including the extensions of the instantaneous source solutions of the porous medium equations.

Related Organizations

Northwest University
China (People's Republic of)
Northwest University (China)
China (People's Republic of)
Henan Agricultural University
China (People's Republic of)

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