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.