Author(s)

Vasyl M. Fedorchuk, Volodymyr I. Fedorchuk

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

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.

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

Fedorchuk, V. and Fedorchuk, V. (2020) On Symmetry Reduction of the (1 + 3)-Dimensional Inhomogeneous Monge-Ampère Equation to the First-Order ODEs. Applied Mathematics, 11, 1178-1195. doi: 10.4236/am.2020.1111080.