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Symmetry structures and conserved forms of systems of pdes

A thesis submitted in fulfillment of the requirements for the degree of Doctor of Philosophy to the Faculty of Science, University of the Witwatersrand, Johannesburg, 2019 / We will study the symmetry, invariance properties and conservation laws of partial dif
ferential equations (pdes) that arise in a number of situations in mathematical physics.
These will be range from Image Processing and noise removal algorithms to Timoshenko
beam systems. Furthermore, we will study the invariance properties and approximate
conservation laws of some nonlinear Schro¨dinger equation with PT-symmetric potentials
with inhomogeneous nonlinearity and some nonlinear Schro¨dinger equation involving a
spatially extended system consisting of two coupled elements. / TL (2019)

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/29667
Date January 2019
CreatorsAlqurashi, Bader Mutair
Source SetsSouth African National ETD Portal
LanguageEnglish
Detected LanguageEnglish
TypeThesis
FormatOnline resource (47 leaves), application/pdf

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