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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 7, Pages 65–78 (Mi fpm1017)  
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
Full-text PDF (151 kB) Citations (19)
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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.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 4, Pages 3112–3122
DOI: https://doi.org/10.1007/s10958-008-9028-0
Bibliographic databases:
UDC: 517.957
Language: Russian
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
Citation in format AMSBIB
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\paper On the characteristic Lie algebras for equations $u_{xy}=f(u,u_x)$
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\issue 7
\pages 65--78
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\jour J. Math. Sci.
\yr 2008
\vol 151
\issue 4
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Фундаментальная и прикладная математика
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