%0 Journal Article
%T The Klein-Gordon Equation and Differential Substitutions of the Form v=¦Õ(u,u_x,u_y)
%A riya N. Kuznetsova
%A Asl£¿ Pekcan
%A Anatoliy V. Zhiber
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2012
%I National Academy of Science of Ukraine
%X We present the complete classification of equations of the form $u_{xy}=f(u, u_x, u_y)$ and the Klein-Gordon equations $v_{xy}=F(v)$ connected with one another by differential substitutions $v=varphi(u,u_x,u_y)$ such that $varphi_{u_x}varphi_{u_y} eq 0$ over the ring of complex-valued variables.
%K Klein-Gordon equation
%K differential substitution
%U http://dx.doi.org/10.3842/SIGMA.2012.090