Existence and Construction of Vessiot Connections

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Fesser, D., Seiler, W.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149123
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Existence and Construction of Vessiot Connections / D. Fesser, W.M. Seiler // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 28 назв. — англ.

A rigorous formulation of Vessiot's vector field approach to the analysis of general systems of partial differential equations is provided. It is shown that this approach is equivalent to the formal theory of differential equations and that it can be carried through if, and only if, the given s...