On Symmetry Reduction of the (1 + 3)-Dimensional Inhomogeneous Monge-Ampère Equation to the First-Order ODEs

Vasyl M. Fedorchuk, Volodymyr I. Fedorchuk

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, L'viv, Ukraine.

DOI: 10.4236/am.2020.1111080                

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.

Keywords

Symmetry Reduction, Invariant Solutions, Monge-Ampère Equation, Classification of Lie Algebras, Poincaré Group P(1, 4)

Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

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