Version of the elimination method for a system of partial differential equations
- Authors: Zhegalov V.I.1, Mironov A.N.1
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Affiliations:
- Kazan Federal University
- Issue: Vol 53, No 6 (2017)
- Pages: 836-840
- Section: Short Communications
- URL: https://journal-vniispk.ru/0012-2661/article/view/154457
- DOI: https://doi.org/10.1134/S0012266117060143
- ID: 154457
Cite item
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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