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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 7, Pages 65–78
(Mi fpm1017)
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This article is cited in 19 scientific papers (total in 19 papers)
On the characteristic Lie algebras for equations $u_{xy}=f(u,u_x)$
A. V. Zhibera, R. D. Murtazinab a Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences
b Ufa State Aviation Technical University
Abstract:
A new approach to classification of integrable nonlinear equations is proposed. The method is based on description of the structure of the characteristic algebra. A basis of the characteristic algebra is constructed for the $\mathrm{sinh}$-Gordon equation.
Citation:
A. V. Zhiber, R. D. Murtazina, “On the characteristic Lie algebras for equations $u_{xy}=f(u,u_x)$”, Fundam. Prikl. Mat., 12:7 (2006), 65–78; J. Math. Sci., 151:4 (2008), 3112–3122
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https://www.mathnet.ru/eng/fpm1017 https://www.mathnet.ru/eng/fpm/v12/i7/p65
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Abstract page: | 584 | Full-text PDF : | 194 | References: | 75 | First page: | 1 |
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