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What would be a good introductory reference for learning jet-bundle theory?

Two articles by A.M. Vinogradov provide a gentle introduction: "Local symmetries and conservation laws", Acta Applicandae Mathematica volume 2, pages 21–78(1984) "An informal introduction to the geome …
Phil Harmsworth's user avatar
1 vote

Integrability conditions for differential equations on $J^\infty$

Section 4 of the paper "Geometry of Differential Equations" by B. Kruglikov and V. Lychagin (IHES/M/07/04) states that formal integrability & analyticity are sufficient for the existence of a solution …
Phil Harmsworth's user avatar