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Fedorchuk, V.M., Fedorchuk, I.M. and Leibov, O.S. (1991) Reduction of the Born-Infeld, the Monge-Ampère and the Eikonal Equation to Linear Equations. Doklady Akademii Nauk Ukrainy, 11, 24-27. (In Ukrainian)

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.