Preliminary Group Classification of Nonlinear Wave Equation utt + ut = f(x,ux)uxx + g(x,ux)
In: WSEAS TRANSACTIONS ON MATHEMATICS ; volume 21, page 785-791 ; ISSN 2224-2880 1109-2769, 2022
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Zugriff:
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.
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Preliminary Group Classification of Nonlinear Wave Equation utt + ut = f(x,ux)uxx + g(x,ux)
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Autor/in / Beteiligte Person: | Masebe, Tshidiso |
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Zeitschrift: | WSEAS TRANSACTIONS ON MATHEMATICS ; volume 21, page 785-791 ; ISSN 2224-2880 1109-2769, 2022 |
Veröffentlichung: | World Scientific and Engineering Academy and Society (WSEAS), 2022 |
Medientyp: | academicJournal |
DOI: | 10.37394/23206.2022.21.90 |
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