Article

    Ufa Mathematical Journal
    Volume 4, Number 3, pp. 86-103

    Nonlinear hyperbolic differential equations, related with the Klein-Gordon equation by differential substitutions.


    Kuznetsova M.N.

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    In the work we solved the classification problem of nonlinear hyperbolic differential equations in two independent variables $u_{xy}=f(u,u_x,u_y)$, reduced by differential substitutions of the special form $v = \varphi(u, u_x)$ to the Klein-Gordon equation.