Abstract

The classification of symmetry reductions for the Monge–Ampère equation in the space M(1,3)×R(u) is carried out. Some results obtained by using the classification of three-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4) are presented. Cite as: V. M. Fedorchuk, V. I. Fedorchuk, “On the classification of symmetry reductions for the (1+3)-dimensional Monge–Ampère equation,” Mat. Met. Fiz. Mekh. Polya , 63 , No. 2, 7–16 (2020) (in Ukrainian), https://doi.org/10.15407/mmpmf2020.63.2.7-16

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