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

Author:

Fedorchuk V. М.,Fedorchuk V. I.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference31 articles.

1. L. V. Ovsiannikov, Group Analysis of Differential Equations [in Russian], Nauka, Moscow (1978)

2. English translation: Academic Press, New York (1982)

3. A. V. Pogorelov, Multidimensional Minkowski Problem [in Russian], Nauka, Moscow (1975).

4. V. M. Fedorchuk, “Symmetry reduction and some exact solutions of a nonlinear five-dimensional wave equation,” Ukr. Mat. Zh., 48, No. 4, 573–577 (1996); English translation: Ukr. Math. J., 48, No. 4, 636–640 (1996); https://doi.org/10.1007/BF02390625.

5. V. M. Fedorchuk and V. I. Fedorchuk, “On the classification of low-dimensional nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4),” in: Symmetry and Integrability of the Equations of Mathematical Physics: Collection of Works of the Institute of Mathematics, Nats. Akad. Nauk Ukr. [in Ukrainian], Vol. 3, No. 2 (2006), pp. 301–307.

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