Equivalence and symmetry groups of a nonlinear equation in plasma physics

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dc.contributor.authorBashe, Mantombi Beryl
dc.date.accessioned2016-07-14T11:51:03Z
dc.date.available2016-07-14T11:51:03Z
dc.date.issued2016-07-14
dc.descriptionDegree awarded with distinction on 6 December 1995. A research report submitted to the Faculty of Science, University of the Witwatersrand, in fulfilment of the requirements for the degree of Masters. Johannesburg, 1995.en_ZA
dc.description.abstractIn this work we give a brief overview of the existing group classification methods of partial differential equations by means of examples. On top of these methods we introduce another new method which classify according to low-dimensional Lie elgebras, One can ask: What is the aim of introducing a new method whilst there are existing methods? This question is answered in the following paragraph. Firstly we classify our system of non-linear partial differential equations using the preliminary group classification method (one of the existing methods). The results are not different from what; Euler, Steeb and Mulsor have obtained in 1991 and 1992. That is, this method does not yield new information. This new method which classifies according to low-dimensional Lie algebras is used to classify a general system of equations from plasma physics. Finally, using this method we completely classify our system for four-dimensionnl algebras. For a partial differential equation to be completely classified using this method, it must admit a low-dimensional Lie algebra.en_ZA
dc.identifier.urihttp://hdl.handle.net/10539/20598
dc.language.isoenen_ZA
dc.subject.lcshDifferential equations, Nonlinear.
dc.subject.lcshDifferential equations, Nonlinear.
dc.subject.lcshDifferential equations, Partial.
dc.subject.lcshLie algebras.
dc.titleEquivalence and symmetry groups of a nonlinear equation in plasma physicsen_ZA
dc.typeThesisen_ZA
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