## The Klein-Gordon Equation and Differential Substitutions of the Form v = phi(u, u(x), u(y))

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, cilt.8, 2012 (SCI İndekslerine Giren Dergi) • Cilt numarası: 8
• Basım Tarihi: 2012
• Doi Numarası: 10.3842/sigma.2012.090
• Dergi Adı: SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

#### Özet

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 = phi(u, u(x,) u(y)) such that phi(ux)phi(uy) not equal 0 over the ring of complex-valued variables.
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