| dc.contributor.advisor | Moleleki, L.D. | |
| dc.contributor.advisor | Magalakwe, G. | |
| dc.contributor.author | Mafora, Masego | |
| dc.date.accessioned | 2023-11-28T08:13:42Z | |
| dc.date.available | 2023-11-28T08:13:42Z | |
| dc.date.issued | 2023 | |
| dc.identifier.uri | https://orcid.org/0000-0001-8280-2709 | |
| dc.identifier.uri | http://hdl.handle.net/10394/42374 | |
| dc.description | MSc (Applied Mathematics), North-West University, Mahikeng Campus | en_US |
| dc.description.abstract | ThisΓresearchΓprojectΓseeksΓtoΓinvestigateΓtheΓtwoΓ(3+1)-dimensionalΓGardner-typeΓequationsΓthatΓfallΓunderΓtheΓnonlinearΓpartialΓdifferentialΓequationsΓ(NPDEs),ΓwhichΓappearΓinΓsoundΓwaveΓnonlinearΓphysicalΓphenomena.ΓTheΓstudyΓusesΓLieΓsymmetryΓtoΓobtainΓtheΓclassΓofΓexactΓsolutionsΓofΓNPDEΓmodelsΓunderΓinvestigation.ΓEx-ΓactΓsolutionsΓareΓobtainedΓfromΓtransformedΓsolvableΓnonlinearΓordinaryΓdifferentialΓequationsΓ(NODEs)ΓrepresentingΓtheΓmodelsΓobtainedΓfromΓLieΓpointΓsymmetriesΓwithoutΓchangingΓtheΓdynamicsΓofΓtheΓmodels.ΓTheΓobtainedΓsolutionsΓareΓrepre-ΓsentedΓgraphicallyΓandΓanalysedΓtoΓstudyΓmomentumΓ(velocity)ΓandΓenergyΓvariationΓinΓorderΓtoΓexploreΓtheΓsoundΓwaveΓdynamicsΓmodelledΓbyΓtheΓGardner-typeΓequationsΓstudiedΓinΓthisΓproject.ΓInΓadditionΓtoΓexactΓsolutions,ΓconservationΓlawsΓthatΓrepre-ΓsentΓconservedΓquantitiesΓofΓtheΓmodelsΓunderΓinvestigationΓareΓobtainedΓbyΓinvokingΓIbragimovsΓtheoremΓandΓmultipliersΓapproach. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | North-West University (South Africa) | en_US |
| dc.title | Solutions of two (3+1)-dimensional Gardner-type equations using Lie symmetry analysis | en_US |
| dc.type | Thesis | en_US |
| dc.description.thesistype | Masters | en_US |
| dc.contributor.researchID | 18045510 - Moleleki, Letlhogonolo Daddy Supervisor) | |
| dc.contributor.researchID | 17065828 - Magalakwe, Gabriel (Supervisor) | |
