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On the Classification of Symmetry Reductions for the (1+3)-Dimensional Monge–Ampère Equation

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We propose a classification of the symmetry reductions for the Monge–Ampère equation in the space M(1,3) × R(u). We present some results obtained by using the classification of three-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4).

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine

    V. М. Fedorchuk & V. I. Fedorchuk

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  1. V. М. Fedorchuk
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  2. V. I. Fedorchuk
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Correspondence to V. М. Fedorchuk.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 2, pp. 7–16, April–June, 2020.

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Fedorchuk, V.М., Fedorchuk, V.I. On the Classification of Symmetry Reductions for the (1+3)-Dimensional Monge–Ampère Equation. J Math Sci 272, 1–13 (2023). https://doi.org/10.1007/s10958-023-06395-0

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