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Journal of Siberian Federal University. Mathematics & Physics, 2010, Volume 3, Issue 2, Pages 173–184 (Mi jsfu116)  
This article is cited in 5 scientific papers (total in 5 papers)

Characteristic algebras of nonlinear hyperbolic systems of equations

Anatoly V. Zhibera, Olga S. Kostriginab

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia
b Ufa State Aviation Technical University, Ufa, Russia
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Abstract: We describe all $n$-component systems of nonlinear hyperbolic equations with a complete set of integrals of the first order and two-component systems of equations with three integrals of the first order and one integral of the second order. Necessary conditions for the existence of two integrals of the first order and two integral of second order for two-component systems of equations are obtained.
Keywords: characteristic algebra, integral, vector field, Riemann tensor.
Received: 18.12.2009
Received in revised form: 25.01.2010
Accepted: 10.03.2010
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Anatoly V. Zhiber, Olga S. Kostrigina, “Characteristic algebras of nonlinear hyperbolic systems of equations”, J. Sib. Fed. Univ. Math. Phys., 3:2 (2010), 173–184
Citation in format AMSBIB
\Bibitem{ZhiKos10}
\by Anatoly~V.~Zhiber, Olga~S.~Kostrigina
\paper Characteristic algebras of nonlinear hyperbolic systems of equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2010
\vol 3
\issue 2
\pages 173--184
\mathnet{http://mi.mathnet.ru/jsfu116}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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