A differential-geometric criterion of the kinematic integrability of nonlinear differential equations |
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| Authors: | D V Tikhomirov S A Zadadaev |
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| Institution: | (1) Moscow State University, Russia;(2) Finance Academy under the Government of the Russian Federation, Russia |
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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 Λ2-G-classes is proved. Examples of zero-curvature representations and metrics for some equations of mathematical physics are
presented.
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Translated from Fundamental’naya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 11, No. 1, Geometry,
2005. |
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