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Preliminary Group Classification of nonlinear wave equation utt + ut = f(x,ux)uxx + g(x,ux).

Masebe, Tshidiso
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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 the first three extended five-dimensional Lie algebras. These are finally used to determine invariant solutions of some examples.
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Date
2022-12-01
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World Scientific and Engineering Academy and Society (WSEAS)
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Department of School of Education - Research Articles
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MASEBE 5.pdf
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Keywords
Principal Lie Algebra, Equivalence Lie algebra, Invariant solution, One-dimensional optimal systems
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https://hdl.handle.net/20.500.14519/2858
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Attribution-NonCommercial-ShareAlike 4.0 International
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