Pogorelov, A.V. (1988) The Multidimensional Monge-Ampère Equation det||zij|| = φ(z1, ..., zn, z, x1, ..., xn). Nauka, Moscow. (In Russian)
has been cited by the following article:
TITLE: On Symmetry Reduction of the (1 + 3)-Dimensional Inhomogeneous Monge-Ampère Equation to the First-Order ODEs
AUTHORS: Vasyl M. Fedorchuk, Volodymyr I. Fedorchuk
KEYWORDS: Symmetry Reduction, Invariant Solutions, Monge-Ampère Equation, Classification of Lie Algebras, Poincaré Group P(1, 4)
JOURNAL NAME: Applied Mathematics, Vol.11 No.11, November 25, 2020
ABSTRACT: We present the results obtained concerning the classification of symmetry reduction of the (1 + 3)-dimensional inhomogeneous Monge-Ampère equation to first-order ODEs. Some classes of the invariant solutions are constructed.