WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 21, 2022
Preliminary Group Classification of Nonlinear Wave Equation utt + ut = f(x,ux)uxx + g(x,ux)
Author:
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.