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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 1, Pages 247–254 (Mi fpm808)  
A differential-geometric criterion of the kinematic integrability of nonlinear differential equations

D. V. Tikhomirova, S. A. Zadadaevb

a M. V. Lomonosov Moscow State University
b Finance Academy under the Government of the Russian Federation
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Abstract: A theorem on the existence of a $G$-representation and a differential-geometric criterion of the kinematic integrability for nonlinear differential equations from the $\Lambda^2$-$G$-classes is proved. Examples of zero-curvature representations and metrics for some equations of mathematical physics are presented.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 141, Issue 1, Pages 1075–1080
DOI: https://doi.org/10.1007/s10958-007-0035-3
Bibliographic databases:
UDC: 514.752.4+517.95
Language: Russian
Citation: D. V. Tikhomirov, S. A. Zadadaev, “A differential-geometric criterion of the kinematic integrability of nonlinear differential equations”, Fundam. Prikl. Mat., 11:1 (2005), 247–254; J. Math. Sci., 141:1 (2007), 1075–1080
Citation in format AMSBIB
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\by D.~V.~Tikhomirov, S.~A.~Zadadaev
\paper A differential-geometric criterion of the kinematic integrability of nonlinear differential equations
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 1
\pages 247--254
\mathnet{http://mi.mathnet.ru/fpm808}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2137439}
\zmath{https://zbmath.org/?q=an:1073.37066}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 141
\issue 1
\pages 1075--1080
\crossref{https://doi.org/10.1007/s10958-007-0035-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846577220}
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    		Фундаментальная и прикладная математика
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