| dc.contributor.author | Masemola, P. | |
| dc.contributor.author | Abdul Hamid, Kara, Prof. Dr. | |
| dc.contributor.author | Kamran, Fakhar | |
| dc.date.accessioned | 2014-05-05T13:08:02Z | |
| dc.date.available | 2014-05-05T13:08:02Z | |
| dc.date.issued | 2013-10 | |
| dc.identifier.citation | Journal of Engineering Mathematics, vol. 82(1), 2013, pages 77-83 | en_US |
| dc.identifier.issn | 0022-0833 | |
| dc.identifier.uri | http://link.springer.com/article/10.1007%2Fs10665-012-9591-8 | |
| dc.identifier.uri | http://dspace.unimap.edu.my:80/dspace/handle/123456789/34266 | |
| dc.description | Link to publisher's homepage at http://link.springer.com/ | en_US |
| dc.description.abstract | 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 theorem to these systems via associated symmetries, one can construct exact solutions. This procedure is applied to specific cases of the density-dependent Nagumo and Fisher equations for which we obtain new solutions that differ in form from the well known analytic and numerical solutions. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Science+Business Media Dordrecht. | en_US |
| dc.subject | Double reduction | en_US |
| dc.subject | Exact/closed-form solutions | en_US |
| dc.subject | Fisher equation | en_US |
| dc.subject | Nagumo equation | en_US |
| dc.title | Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations | en_US |
| dc.type | Article | en_US |
| dc.contributor.url | Abdul.Kara@wits.ac.za | en_US |
