Browsing Institute of Engineering Mathematics (Articles) by Author "Abdul.Kara@wits.ac.za"
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Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations
Masemola, P.; Abdul Hamid, Kara, Prof. Dr.; Kamran, Fakhar (Springer Science+Business Media Dordrecht., 2013-10)We show that conservation laws and their corresponding multipliers can be used to reformulate systems of partial differential equations and obtain some new classes of solutions. By applying the generalized double-reduction ... -
Similarity solutions and conservation laws for rotating flows of an Oldroyd-B fluid
Kamran, Fakhar; Kara, Abdulhamid; Morris, Richard; T., Hayat (Indian Association for the Cultivation of Science, 2013-10)In this paper, similarity reduction arising from classical Lie point symmetries of unsteady hydromagnetic flows of a rotating Oldroyd-B fluid under influence of Hall currents is carried out. By employing different combinations ...