Conservation laws and exact solutions of Kudryashov-Sinelshchikov equation and Benney-Luke equation
| dc.contributor.advisor | Muatjetjeja, B. | |
| dc.contributor.advisor | Adem, A.R. | |
| dc.contributor.author | Mbusi, Sivenathi Oscar | |
| dc.contributor.researchID | 16553926 - Muatjetjeja, Ben (Supervisor) | |
| dc.contributor.researchID | 16881621 - Adem, Abdullahi Rashid (Supervisor) | |
| dc.date.accessioned | 2021-05-24T13:01:38Z | |
| dc.date.available | 2021-05-24T13:01:38Z | |
| dc.date.issued | 2017 | |
| dc.description | MSc (Applied Mathematics), North-West University, Mafikeng Campus, 2017 | en_US |
| dc.description.abstract | In this dissertation we study two nonlinear partial differential equations namely; the Kudryashov-Sinclshchikov equation and the Benney-Luke equation. We employ the multiplier method to find conservation laws and Kudryashov method to obtain exact solutions for the generalized Kudryashov-Sinelshchikov equation. We derive the Noether symmetries of a generalized Benney-Luke equation. Thereafter, we construct the associated conserved vectors. In addition, we search for exact solutions for the generalized Benney-Luke equation via the extended tanh method. | en_US |
| dc.description.thesistype | Masters | en_US |
| dc.identifier.uri | http://hdl.handle.net/10394/37027 | |
| dc.language.iso | en | en_US |
| dc.publisher | North-West University (South Africa) | en_US |
| dc.title | Conservation laws and exact solutions of Kudryashov-Sinelshchikov equation and Benney-Luke equation | en_US |
| dc.type | Thesis | en_US |