Group analysis of (2 + 1)- and (3 + 1)-dimensional diffusion-convection equations
Date
2008ISSN
0022-247XSource
Journal of Mathematical Analysis and ApplicationsVolume
348Issue
1Pages
55-65Google Scholar check
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We perform the complete Lie group classification of a (2 + 1)- and a (3 + 1)-dimensional classes of non-linear diffusion-convection equations. This classification generalizes and completes existing results in the literature. The derived Lie symmetries are used for construction of similarity reductions and exact solutions of certain equations from both classes. © 2008 Elsevier Inc. All rights reserved.