Abstract
By using the subgroup structure of the generalized Poincare groupP( 1, 4), we perform a symmetry reduction of the multidimensional Monge-Ampere equation to differential equations with a smaller number of independent variables. On the basis of solutions of the reduced equations, we construct some classes of exact solutions of the equation under consideration.
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Fedorchuk, V.M., Leibov, O.S. Symmetry reduction and exact solutions of the multidimensional monge-ampere equation. Ukr Math J 48, 775–783 (1996). https://doi.org/10.1007/BF02384226
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DOI: https://doi.org/10.1007/BF02384226