This article is cited in 2 scientific papers (total in 2 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
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.
characteristic algebra, integral, vector field, Riemann tensor.
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Received in revised form: 25.01.2010
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
\by Anatoly~V.~Zhiber, Olga~S.~Kostrigina
\paper Characteristic algebras of nonlinear hyperbolic systems of equations
\jour J. Sib. Fed. Univ. Math. Phys.
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This publication is cited in the following articles:
Kostrigina O.S., Zhiber A.V., “Darboux-integrable two-component nonlinear hyperbolic systems of equations”, J. Math. Phys., 52:3 (2011), 033503, 32 pp.
M. V. Yangubaeva, “On structure of integrals for systems of discrete equations”, Ufa Math. J., 6:1 (2014), 111–116
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