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Ufimskii Matematicheskii Zhurnal, 2012, Volume 4, Issue 3, Pages 155–160
(Mi ufa159)
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This article is cited in 5 scientific papers (total in 5 papers)
Characteristic Lie ring of the Zhiber–Shabat–Tzitzeica equation
A. U. Sakieva
Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia
Abstract:
A complete description of the characteristic Lie ring for the Zhiber–Shabat–Tzitzeica equation is given. For the linear space of multiple commutators of arbitrary order a basis is constructed. It is proved that the characteristic Lie ring is a ring of slow growth.
Keywords:
Lie ring, nonlinear hyperbolic equation, integral, vector field.
Received: 25.04.2012
Citation:
A. U. Sakieva, “Characteristic Lie ring of the Zhiber–Shabat–Tzitzeica equation”, Ufimsk. Mat. Zh., 4:3 (2012), 155–160
Linking options:
https://www.mathnet.ru/eng/ufa159 https://www.mathnet.ru/eng/ufa/v4/i3/p155
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| Abstract page: | 281 | | Full-text PDF : | 122 | | References: | 44 | | First page: | 2 |
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Citation in format AMSBIB
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