Preliminary Group Classification of nonlinear wave equation utt + ut = f(x, ux)uxx + g(x, ux)
In: PROOF, Jg. 2 (2022-10-10), S. 169-173
Online
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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 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.
Titel: |
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 |
Link: | |
Zeitschrift: | PROOF, Jg. 2 (2022-10-10), S. 169-173 |
Veröffentlichung: | World Scientific and Engineering Academy and Society (WSEAS), 2022 |
Medientyp: | unknown |
ISSN: | 2732-9941 (print) ; 2944-9162 (print) |
DOI: | 10.37394/232020.2022.2.22 |
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