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http://dspace.unimap.edu.my:80/xmlui/handle/123456789/34266| Title: | Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations |
| Authors: | Masemola, P. Abdul Hamid, Kara, Prof. Dr. Kamran, Fakhar Abdul.Kara@wits.ac.za |
| Keywords: | Double reduction Exact/closed-form solutions Fisher equation Nagumo equation |
| Issue Date: | Oct-2013 |
| Publisher: | Springer Science+Business Media Dordrecht. |
| Citation: | Journal of Engineering Mathematics, vol. 82(1), 2013, pages 77-83 |
| 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. |
| Description: | Link to publisher's homepage at http://link.springer.com/ |
| URI: | http://link.springer.com/article/10.1007%2Fs10665-012-9591-8 http://dspace.unimap.edu.my:80/dspace/handle/123456789/34266 |
| ISSN: | 0022-0833 |
| Appears in Collections: | Institute of Engineering Mathematics (Articles) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations.pdf | 7.04 kB | Adobe PDF | View/Open |
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