dc.contributor.advisor | Kambule, M.T. | |
dc.contributor.author | Botolo, Enock Willy Lesego | |
dc.date.accessioned | 2014-09-17T06:19:31Z | |
dc.date.available | 2014-09-17T06:19:31Z | |
dc.date.issued | 2003 | |
dc.identifier.uri | http://hdl.handle.net/10394/11365 | |
dc.description | Thesis (MSc. Mathematics) North-West University, Mafikeng Campus, 2003 | en_US |
dc.description.abstract | We carry out a preliminary group classification of the following family of non-linear
wave equations u_tt =f(u_x)u_xx+g(u_x)+x.
We first re-obtain the principal Lie algebra obtained by Ibragimov et al[3) and then
construct the equivalence Lie algebra. In order to partially classify this family of
wave equations, optimal systems of one-dimensional sub-algebras of the equivalence
Lie algebra are constructed and in so doing, two distinct equations are obtained. We
furthermore determine some invariant solutions of these equations. | en_US |
dc.language.iso | en | en_US |
dc.subject | Nonlinear theory | en_US |
dc.subject | Nonlinear wave equations | en_US |
dc.subject | Differential equations, Nonlinear | en_US |
dc.title | Non–linear wave equations and their invariant solutions | en |
dc.type | Thesis | en_US |
dc.description.thesistype | Masters | en_US |
dc.contributor.researchID | 20560842 - Kambule, Matthew Tebby (Supervisor) | |