Reducing \(y=F(x,y,y')\) to first order.

DOI10.1016/S0377-0427(02)00876-2zbMath1034.34048OpenAlexW2092890926MaRDI QIDQ1811598

Yanyan Li

Publication date: 17 June 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00876-2

zbMATH Keywords

complete integrabilityorder reductionjet bundlesecond-order ODEfibred automorphism

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14)

Cites Work

• Computer algebra solving second order ODEs using symmetry methods
• Symmetries of first integrals and their associated differential equations
• The determination of nonlocal symmetries by the technique of reduction of order
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