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We present symmetry classification of the polywave equation 2 l u = F(u). It is estab- lished that the equation in question is invariant under the conformal group C(1,n) iff F(u) = e u , n + 1 = 2l or F(u) = u (n+1+2l)/(n+1 2l) , n + 1 6= 2l. Symmetry re- duction for the biwave equation 2 2 u = u k is carried out. Some exact solutions are obtained.

Symmetry Analysis of the Multidimensional Polywave Equation