An analysis of the invariance and conservation laws of some classes of nonlinear wave equations
| dc.contributor.author | Jamal, Sameerah | |
| dc.date.accessioned | 2011-07-20T12:12:49Z | |
| dc.date.available | 2011-07-20T12:12:49Z | |
| dc.date.issued | 2011-07-20 | |
| dc.description.abstract | We analyse nonlinear partial di erential equations arising from the modelling of wave phenomena. A large class of wave equations with dissipation and source terms are studied using a symmetry approach and the construction of conservation laws. Some previously unknown conservation laws and symmetries are obtained. We then proceed to use the multiplier (and homotopy) approach to construct conservation laws from which we obtain some surprisingly interesting higher-order variational symmetries. We also nd the corresponding conserved quantities for a large class of Gordon-type equations similar to those of the sine-Gordon equation and the relativistic Klein-Gordon equation. In particular, we direct our research and analysis towards a wave equation with non-constant coe cient terms, that is, coe cients dependent on time and space. Finally, we study a class of multi-dimensional wave equations. | en_US |
| dc.identifier.uri | http://hdl.handle.net/10539/10303 | |
| dc.language.iso | en | en_US |
| dc.title | An analysis of the invariance and conservation laws of some classes of nonlinear wave equations | en_US |
| dc.type | Thesis | en_US |