FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 1, PAGES 247-254

A differential-geometric criterion of the kinematic integrability of nonlinear differential equations

D. V. Tikhomirov
S. A. Zadadaev

Abstract

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A theorem on the existence of a $G$-representation and a differential-geometric criterion of the kinematic integrability for nonlinear differential equations from the $$L²-$G$-classes is proved. Examples of zero-curvature representations and metrics for some equations of mathematical physics are presented.

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Last modified: April 27, 2005