Faculty of Science and Technology

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Browsing Faculty of Science and Technology by Author "Adem, A.R."

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    Group classification, symmetry reductions and exact solutions of a generalized Korteweg-de Vries-Burgers equation
    (Natural Sciences Publishing, 2015-01-01) Molati, M.; Khaliqu, C. M.; Adem, A.R.
    Lie group classification is performed on the generalized Korteweg-de Vries-Burgers equationut+δuxxx+g(u)ux−νuxx+γu=f(x), which occurs in many applications of physical phenomena. We show that the equation admits a four-dimensional equivalenceLie algebra. It is also shown that the principal Lie algebra consists of a single translation symmetry. Several possibleextensions of theprincipal Lie algebra are computed and their associated symmetry reductions and exact solutions are obtained. Also, one-dimensionaloptimal system of subalgebras is obtained for the case when the principal Lie algebra is extended by two symmetries.