Version of the elimination method for a system of partial differential equations


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Abstract

For a system of three first-order partial differential equations with three independent variables, we obtain sufficient conditions for one component of the solution to satisfy a third-order Bianchi equation. We also obtain conditions for the solvability of this system by quadratures.

About the authors

V. I. Zhegalov

Kazan Federal University

Email: lbmironova@yandex.ru
Russian Federation, Kazan, 420008

A. N. Mironov

Kazan Federal University

Author for correspondence.
Email: lbmironova@yandex.ru
Russian Federation, Kazan, 420008

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