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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 10, Pages 27–34
(Mi ivm8938)
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This article is cited in 6 scientific papers (total in 6 papers)
Laplace invariants for fourth-order equation with two independent variables
A. N. Mironov, L. B. Mironova Chair of Mathematical Analysis, Algebra and Geometry, Elabuga Institute of Kazan (Volga Region) Federal University, 89 Kazanskaya str., Elabuga, 423600 Russia
Abstract:
We construct the Laplace invariants for fourth-order equation with leading partial derivative. We obtain classes of equations admitting four-dimensional Lie algebras.
Keywords:
equations with leading partial derivative, Laplace invariants, Lie algebra.
Received: 09.04.2013
Citation:
A. N. Mironov, L. B. Mironova, “Laplace invariants for fourth-order equation with two independent variables”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 10, 27–34; Russian Math. (Iz. VUZ), 58:10 (2014), 22–28
Linking options:
https://www.mathnet.ru/eng/ivm8938 https://www.mathnet.ru/eng/ivm/y2014/i10/p27
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Abstract page: | 261 | Full-text PDF : | 63 | References: | 56 | First page: | 10 |
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