Symmetry reduction and exact solutions of the multidimensional monge-ampere equation
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.
English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 5, pp 775-783.
Citation Example: Fedorchuk V. M., Leibov O. S. Symmetry reduction and exact solutions of the multidimensional monge-ampere equation // Ukr. Mat. Zh. - 1996. - 48, № 5. - pp. 695-701.