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Mathematics > Classical Analysis and ODEs
Title: Integration of first-order ODEs by Jacobi fields
(Submitted on 22 Apr 2024 (v1), last revised 27 Apr 2024 (this version, v2))
Abstract: A new class of vector fields enabling the integration of first-order ordinary differential equations (ODEs) is introduced. These vector fields are not, in general, Lie point symmetries. The results are based on a relation between 2-dimensional Riemannian manifolds and the integrability of first-order ODEs, which was established in a previous work of the authors. An integration procedure is provided, together with several examples to illustrate it. A connection between integrating factors of first-order ODEs and Schr\"odinger-type equations is highlighted.
Submission history
From: Antonio J Pan-Collantes [view email][v1] Mon, 22 Apr 2024 17:03:16 GMT (23kb)
[v2] Sat, 27 Apr 2024 09:39:13 GMT (23kb)
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