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The article is considered two differential geometric approaches to solving nonlinear hyperbolic systems in partial differential equations. Such equations are particular case of general Jacobi system. Such systems define a pair of differential 2-forms on the 4-dimensional space R4. Considered system can be transform to a symplectic Monge–Ampere equation of hyperbolic type. After that we can define conditions under which the Monge–Ampere equation can be transformed to the linear wave equation by a symplectic transformation.