In the first part of this work, two nonlinear partial differential equations, namely, a
modified Camassa-Holm-Degasperis-Procesi equation and the generalized Kortewegde Vries equation with two power law nonlinearities are studied. The Lie symmetry method along with the simplest equation method is used to construct exact Solutions for these two equations. The second part looks at two systems of partial
differential equations, namely, the generalized Boussinesq-Burgers equations and the
(2+1)-dimensional Davey-Stewartson equations. The Lie symmetry method and the
travelling wave hypothesis approach are utilized to obtain exact solutions of the generalized Boussinesq-Burgers equations. The travelling wave hypothesis approach is
used to find exact solutions of the (2+ 1 )-dimensional Davey-Stewartson equations. / Thesis (Msc. in Applied Mathematics) North-West University, Mafikeng Campus, 2012
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:nwu/oai:dspace.nwu.ac.za:10394/14414 |
| Date | January 2012 |
| Creators | Mhlanga, Isaiah Elvis |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
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