Alqurashi, Bader Mutair2020-09-152020-09-152019Alqurashi, Bader Mutair (2019) Symmetry structures and conserved forms of systems of pdes, University of the Witwatersrand, Johannesburg, <http://hdl.handle.net/10539/29667>https://hdl.handle.net/10539/29667A thesis submitted in fulfillment of the requirements for the degree of Doctor of Philosophy to the Faculty of Science, University of the Witwatersrand, Johannesburg, 2019We 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.Online resource (47 leaves)enDifferential equations, NonlinearDifferential equations, PartialThesis