The group classification is carried out on the nonlinear wave equation utt = f(x,u, ux)uzz + g(x,u,uz) by using the preliminary group classification approach. The generators of equivalence group are determined an...The group classification is carried out on the nonlinear wave equation utt = f(x,u, ux)uzz + g(x,u,uz) by using the preliminary group classification approach. The generators of equivalence group are determined and the corresponding reduced forms are obtained. The result of the work is shown in table form.展开更多
基金Supported by NSF-China Grant 10671156NSF of Shaanxi Province of China (SJ08A05) NWU Graduate Innovation and Creativity Funds under Grant No.09YZZ56
文摘The group classification is carried out on the nonlinear wave equation utt = f(x,u, ux)uzz + g(x,u,uz) by using the preliminary group classification approach. The generators of equivalence group are determined and the corresponding reduced forms are obtained. The result of the work is shown in table form.