Browsing by Subject "Differential equations"
Now showing items 1-5 of 5
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Application of lie group methods to certain partial differential equations
(2012)In the first part of this work, two nonlinear partial differential equations, namely, a modified Camassa-Holm-Degasperis-Procesi equation and the generalized Kortewegde Vries equation with two power law nonlinearities are ... -
Lie group analysis of certain nonlinear differential equations arising in fluid mechanics
(North-West University, 2010)This research studies two nonlinear differential equations arising in fluid mechanics. Firstly, the Zakharov-Kuznetsov's equation in (3+1) dimensions with an arbitrary power law nonlinearity is considered. The method of ... -
On the symmetry analysis of some wave-type nonlinear partial differential equations
(North-West University (South Africa), 2014)In this work, we study the applications of Lie symmetry analysis to certain nonlinear wave equations. Exact solutions and conservation laws are obtained for such equations. The equations which are considered in this thesis ... -
Symmetries, Solutions and Conservation Laws / Chaudry Masood Khalique
(Mafikeng: NWU (Mafikeng Campus), 2013) -
Symmetry reductions, exact solutions and conservation laws of a variable coefficient (2+1)-dimensional zakharov-kuznetsov equation
(2011)This research studies two nonlinear problems arising in mathematical physics. Firstly the Korteweg-de Vrics-Burgers equation is considered. Lie symmetry method is used to obtain t he exact solutions of Korteweg-de ...