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dc.contributor.advisorKhalique, C.M.en_US
dc.contributor.advisorMotsepa, T.en_US
dc.contributor.authorAdeyemo, O.D.en_US
dc.date.accessioned2020-08-03T10:37:01Z
dc.date.available2020-08-03T10:37:01Z
dc.date.issued2019en_US
dc.identifier.urihttps://orcid.org/0000-0002-8745-5387en_US
dc.identifier.urihttp://hdl.handle.net/10394/35448
dc.descriptionMSc (Applied Mathematics), North-West University, Mafikeng Campus
dc.description.abstractIn this work we examine two nonlinear partial differential equations of fluid mechan-ics. The modified equal-width (MEW) equation, which is used in handling the sim-ulation of a single dimensional wave propagation in nonlinear media with dispersion process, is studied first. We compute the optimal system of one-dimensional subalge-bras and then use it to perform symmetry reductions and obtain group-invariant solutions. Also, we derive conservation laws of the MEW equation using the multiplier approach and the Noether theorem. Secondly we study the generalized nonlinear advection-diffusion equation, which describes the movement of a buoyancy-driven plume in an inclined porous medium. We consider three cases of n and in each case, we construct optimal system of one-dimensional subalgebras using the computed Lie point symmetries and then obtain symmetry reductions and group-invariant solutions based on these optimal systems of one-dimensional subalgebra. In addition, we de-termine the conservation laws of the equation by employing the multiplier approach and the new conservation theorem due to Ibragimov.en_US
dc.language.isoenen_US
dc.publisherNorth-West University (South Africa)en_US
dc.titleSymmetry analysis of modified equal-width and nonlinear advection-diffusion equationsen_US
dc.typeThesisen_US
dc.description.thesistypeMastersen_US
dc.contributor.researchID20559860 - Khalique, Chaudry Masood (Supervisor)en_US
dc.contributor.researchID24602825 - Motsepa, Tanki (Supervisor)en_US


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