Nonlinear Sciences > Exactly Solvable and Integrable Systems
[Submitted on 31 Jan 2021 (v1), last revised 17 Oct 2021 (this version, v4)]
Title:Positive Characteristic Darboux-Jouanolou Integrability of Differential Forms
View PDFAbstract:We prove a Darboux-Jouanolou type theorem on the algebraic integrability of polynomial differential $r$-forms over arbitrary fields ($r\geq 1$). We also investigate the Darboux's method for producing integrating factors.
Submission history
From: Edileno Santos [view email][v1] Sun, 31 Jan 2021 19:43:25 UTC (11 KB)
[v2] Sat, 27 Feb 2021 14:02:05 UTC (15 KB)
[v3] Fri, 14 May 2021 23:59:58 UTC (19 KB)
[v4] Sun, 17 Oct 2021 18:13:04 UTC (17 KB)
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