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 $$L^{2}-$G$-classes is proved.
Examples of zero-curvature representations and metrics for some
equations of mathematical physics are presented.

Location: http://mech.math.msu.su/~fpm/eng/k05/k051/k05113h.htm

Last modified: April 27, 2005