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Non–linear wave equations and their invariant solutions
(2003)We carry out a preliminary group classification of the following family of non-linear wave equations u_tt =f(u_x)u_xx+g(u_x)+x. We first re-obtain the principal Lie algebra obtained by Ibragimov et al[3) and then construct ... -
A project in symmetries of differential equations
(North-West University (South Africa), 2002)The aim of the project is to discuss 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 ...