Lie symmetry analysis and conservation laws of systems of elliptic equations

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dc.contributor.authorLekhooana, Mosito
dc.contributor.supervisorAssoc. Prof. Molati, Motlatsi
dc.date.accessioned2021-01-15T11:37:19Z
dc.date.available2021-01-15T11:37:19Z
dc.date.issued2021
dc.description.abstractThis work involves the study of elliptic type systems of equations in three independent variables. In the first part of the work, the Lie point symmetries of the systems are obtained; some of the symmetries of a system are used to perform reduction to an invariant system with one less independent variable. The symmetries of the invariant system are also obtained and used for further reduction to a system with one more less independent variable. The invariant solutions of the last reduced system are constructed. The second par t of this study deal s with the construction of conservation laws of the systems of elliptic equations. The variational approach is used, that is, the Noether point symmetries and their corresponding conserved vectors are obtained.en_ZA
dc.description.degreeMaster's Degreeen_ZA
dc.identifier.urihttps://repository.tml.nul.ls/handle/20.500.14155/1516
dc.language.isoenen_ZA
dc.publisherNational University of Lesothoen_ZA
dc.rightsDepartment of Mathematics and Computer Science, National University of Lesothoen_ZA
dc.titleLie symmetry analysis and conservation laws of systems of elliptic equationsen_ZA
dc.typeThesisen_ZA
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