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Lie symmetry analysis and conservation laws of systems of elliptic equations

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dc.contributor.supervisor Assoc. Prof. Molati, Motlatsi Lekhooana, Mosito 2021-01-15T11:37:19Z 2021-01-15T11:37:19Z 2021
dc.description.abstract This 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.language.iso en en_ZA
dc.publisher National University of Lesotho en_ZA
dc.rights Department of Mathematics and Computer Science, National University of Lesotho en_ZA
dc.title Lie symmetry analysis and conservation laws of systems of elliptic equations en_ZA
dc.type Thesis en_ZA Master's Degree en_ZA

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