Affiliation:
1. Tshwane University of Technology Maths,Science& Business Education Department No 2 Aubrey Matlala Road, Soshanguve H 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 algebra, and the extensions by one of the principal Lie algebra. We further construct the optimal system of one-dimensional subalgebras for first three extended five-dimensional Lie algebras. These are finally used to determine invariant solutions of some examples.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)