Analysis of nonlinear Benjamin equation posed on the real line.
| dc.contributor.advisor | Paramasur, Nabendra. | |
| dc.contributor.advisor | Shindin, Sergey Konstantinovich. | |
| dc.contributor.author | Aluko, Olabisi Babatope. | |
| dc.date.accessioned | 2023-11-07T00:10:27Z | |
| dc.date.available | 2023-11-07T00:10:27Z | |
| dc.date.created | 2022 | |
| dc.date.issued | 2022 | |
| dc.description | Doctoral Degree, University of KwaZulu-Natal, Durban. | en_US |
| dc.description.abstract | The thesis contains a comprehensive theoretical and numerical study of the nonlinear Benjamin equation posed in the real line. We explore wellposedness of the problem in weighted settings and provide a detailed study of existence, regularity and orbital stability of traveling wave solutions. Further, we present a comprehensive study of the Malmquist-Takenaka-Christov (MTC) computational basis and employ it for the numerical treatment of the nonstaionary and the stationary Benjamin equations. | en_US |
| dc.identifier.uri | https://researchspace.ukzn.ac.za/handle/10413/22502 | |
| dc.language.iso | en | en_US |
| dc.subject.other | Malmquist-Takenaka-Christov Functions. | en_US |
| dc.subject.other | Spectral collocation. | en_US |
| dc.subject.other | Differential equations. | en_US |
| dc.subject.other | Error bounds. | en_US |
| dc.subject.other | Traveling waves. | en_US |
| dc.title | Analysis of nonlinear Benjamin equation posed on the real line. | en_US |
| dc.type | Thesis | en_US |
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