Affiliation:
1. Tshwane University of Technology, Pretoria, 0001, SOUTH AFRICA
Abstract
The paper discusses the non-linear wave equations whose coefficients are dependent on first order spatial derivatives. We construct the principal Lie algebra, the equivalence Lie al- gebra, and the extensions by one of the princi- pal Lie algebra. We further construct the op- timal system of one-dimensional subalgebras for rst three extended five-dimensional Lie alge- bras. These are finally used to determine invari- ant solutions of some examples.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
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