Phidane, Thilivhali2019-05-142019-05-142018Phidane, Thilivhali, (2018) Phidane, Symmetries and conservation laws of certain classes of complex partial differential equations, University of the Witwatersrand, Johannesburg, https://hdl.handle.net/10539/26892https://hdl.handle.net/10539/26892A dissertation submitted to the Faculty of Science, University of Witwatersrand, in fulfillment of the requirements for degree of Master of Science June 4, 2018Lie symmetry analysis is an established method for generating symmetries of differential equations. We apply this method together with fundamental theorem of double reduction. In particular, Noether symmetries and some associated conservation laws are constructed in our investigation to find exact solutions of higher order partial differential equations and complex partial differential equations.Online resource (41 pages)enSymmetric functionsDifferential equationsMathematical physicsThesis