A symmetry perspective of third-order polynomial evolution equations

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dc.contributor.authorGwaxa, Bongumusa
dc.contributor.supervisorJamal, Sameerah
dc.date.accessioned2024-10-23T08:45:41Z
dc.date.available2024-10-23T08:45:41Z
dc.date.issued2024
dc.descriptionA thesis submitted to the Faculty of Science, University of the Witwatersrand, in requirement for the degree Doctor of Philosophy, May, 2024
dc.description.abstractIn this thesis, we analyse the full class of ten Fujimoto-Watanabe equations. In particular, these are highly nonlinear third-order and two fifth-order equations. With the aid of computer algebra software such as Mathematica, we calculate symmetries for these equations and we construct their commutator tables. The one dimensional system of optimal subalgebras is obtained via adjoint operators. Finally, we reduce these higher-order partial differential equations into ordinary differential equations, derive their solutions via a power series solution method and show how convergence may be tested. Lastly, we determine some conservation laws
dc.description.submitterMM2024
dc.facultyFaculty of Science
dc.identifierhttps://orcid.org/ 0000-0001-7228-7635
dc.identifier.citationGwaxa, Bongumusa. (2024). A symmetry perspective of third-order polynomial evolution equations [PhD thesis, University of the Witwatersrand, Johannesburg]. WireDSpace.https://hdl.handle.net/10539/41829
dc.identifier.urihttps://hdl.handle.net/10539/41829
dc.language.isoen
dc.publisherUniversity of the Witwatersrand, Johannesburg
dc.rights© 2024 University of the Witwatersrand, Johannesburg. All rights reserved. The copyright in this work vests in the University of the Witwatersrand, Johannesburg. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of University of the Witwatersrand, Johannesburg.
dc.rights.holderUniversity of the Witwatersrand, Johannesburg
dc.schoolSchool of Geosciences
dc.subjectSymmetries
dc.subjectPolynomial evolution
dc.subjectUCTD
dc.subject.otherSDG-17: Partnerships for the goals
dc.titleA symmetry perspective of third-order polynomial evolution equations
dc.typeThesis
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