Abstract

The Madelung representation = uexp(iv) is considered for the d’Alembert equation 2n F(| |) = 0 to develop a technique for finding exact solutions. We classify the nonlinear function F for which the amplitude and phase of the d’Alembert equation are related to the solutions of the compatible d’Alembert‐Hamiltonian system. The equations are studied in n-dimensional Minkowski space. We consider the following general nonlinear d’Alembert equation

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