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. / Thesis (MSc. Mathematics) North-West University, Mafikeng Campus, 2003
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:nwu/oai:dspace.nwu.ac.za:10394/11365 |
| Date | January 2003 |
| Creators | Botolo, Enock Willy Lesego |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
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