First integrals and reduction of a class of nonlinear higher order ordinary differential equations.

DOI10.1016/S0022-247X(03)00544-4zbMath1055.34076OpenAlexW2088068521MaRDI QIDQ1417980

Peter G. L. Leach, Norbert Euler

Publication date: 6 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00544-4

zbMATH Keywords

first integralsnonlinear ordinary differential equationsLie point symmetry

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Related Items

On the complete integrability and linearization of nonlinear ordinary differential equations. II. Third-order equations ⋮ Equivalence classes of second-order ordinary differential equations with only a three-dimensional Lie algebra of point symmetries and linearisation. ⋮ A systematic analysis of the properties of the generalised Painlevé-Ince equation ⋮ Symmetry and singularity properties of the generalised Kummer-Schwarz and related equa\-tions ⋮ Sundman Symmetries of Nonlinear Second-Order and Third-Order Ordinary Differential Equations ⋮ Some properties of the Nesterenko differential sequence

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