We have studied the maximal s m m e t r y group admitted by the non-linear polywave equation O'u = F(u). In particular, we establish that the equation in question admits theSymmetry reduction for the biwave equation U2u = Au -3 is carried out and some exact solutions are obtained.
We present symmetry classification of the polywave equation 2 l u = F (u). It is established that the equation in question is invariant under the conformal group C(1, n) iff F (u) = λe u , n + 1 = 2l or F (u) = λu (n+1+2l)/(n+1−2l) , n + 1 = 2l. Symmetry reduction for the biwave equation 2 2 u = λu k is carried out. Some exact solutions are obtained.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.