The complex-valued class of Korteweg-de Vries equations
| dc.contributor.author | Gwaxa, Bongumusa | |
| dc.date.accessioned | 2023-05-08T08:37:22Z | |
| dc.date.available | 2023-05-08T08:37:22Z | |
| dc.date.issued | 2022 | |
| dc.description | A dissertation submitted in fulfilment of the requirements for the degree of Master of Science to the Faculty of Science, School of Mathematics, University of the Witwatersrand, Johannesburg, 2022 | |
| dc.description.abstract | In this dissertation, we apply Lie theory to determine the one-parameter point transformations which leave complex-valued Korteweg-de Vries equations in- variant. The conserved vectors of the systems are constructed. We provide travelling wave reductions that lead to third-order ordinary differential equa- tions. These equations are highly nonlinear to solve directly, and therefore we first establish their first integrals. The latter is of second-order and facilitates the solution of the complex-valued system. | |
| dc.description.librarian | NG (2023) | |
| dc.faculty | Faculty of Science | |
| dc.identifier.uri | https://hdl.handle.net/10539/35485 | |
| dc.language.iso | en | |
| dc.school | School of Mathematics | |
| dc.title | The complex-valued class of Korteweg-de Vries equations | |
| dc.type | Dissertation |