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


KUZNETSOVA M. N. , Pekcan A., ZHIBER A. V.

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, cilt.8, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • 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.