| dc.contributor.advisor | Khalique, C.M. | |
| dc.contributor.author | Moleleki, Letlhogonolo Daddy | |
| dc.date.accessioned | 2015-09-04T12:56:58Z | |
| dc.date.available | 2015-09-04T12:56:58Z | |
| dc.date.issued | 2011 | |
| dc.identifier.uri | http://hdl.handle.net/10394/14404 | |
| dc.description | Thesis (M. Sci in Applied Mathematics) North-West University, Mafikeng Campus, 2011 | en_US |
| dc.description.abstract | This research studies two nonlinear problems arising in mathematical physics. Firstly
the Korteweg-de Vrics-Burgers equation is considered. Lie symmetry method is
used to obtain t he exact solutions of Korteweg-de Vries-Burgers equation. Also
conservation laws are obtained for this equation using the new conservation theorem.
Secondly, we consider the generalized (2+ 1)-dimensional Zakharov-Kuznctsov (ZK)
equation of time dependent variable coefficients from the Lie group-theoretic point
of view. We classify the Lie point symmetry generators to obtain the optimal system
of one-dimensional subalgebras of t he Lie symmetry algebras. These subalgebras arc
then used to construct a number of symmetry reductions and exact group-invariant
solutions of the ZK equation. We utilize the new conservation theorem to construct
the conservation laws of t he ZK equation. | en_US |
| dc.language.iso | en | en_US |
| dc.subject | Differential equations | en_US |
| dc.subject | Lie groups | en_US |
| dc.title | Symmetry reductions, exact solutions and conservation laws of a variable coefficient (2+1)-dimensional zakharov-kuznetsov equation | en |
| dc.type | Thesis | en_US |
| dc.description.thesistype | Masters | en_US |
| dc.contributor.researchID | 20559860 - Khalique, Chaudry Masood (Supervisor) | |
