We perform the procedure of symmetry reduction of (1+3)-dimensional inhomogeneous Monge–Ampère equation to algebraic equations. Some results obtained with the use of the classification of three-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1, 4) are presented.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 65, No. 1-2, pp. 58–64, January–June, 2022.
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Fedorchuk, V.M., Fedorchuk, V.I. On the Symmetry Reduction of the (1+3)-Dimensional Inhomogeneous Monge–Ampère Equation to Algebraic Equations. J Math Sci 282, 668–677 (2024). https://doi.org/10.1007/s10958-024-07208-8
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DOI: https://doi.org/10.1007/s10958-024-07208-8