Symmetries of first integrals and their associated differential equations

DOI10.1006/jmaa.1999.6361zbMath0947.34021OpenAlexW2019418025MaRDI QIDQ1300019

Peter G. L. Leach, Keshlan S. Govinder, Barbara Abraham-Shrauner

Publication date: 25 October 1999

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

Full work available at URL: https://semanticscholar.org/paper/f92a3b7b82ab18e73eff31d49a268a2b512a6519

zbMATH Keywords

symmetryordinary differential equationfirst integralreduction of ordernonlocal symmetryhidden symmetry

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items

Symmetry and singularity properties of second-order ordinary differential equations of Lie's Type III., Type II hidden symmetries for the homogeneous heat equation in some general classes of Riemannian spaces, The reduction of the Laplace equation in certain Riemannian spaces and the resulting type II hidden symmetries, Hidden Symmetries, First Integralsvand Reduction of Order of Nonlinear Ordinary Differential Equations, The Economy of Complete Symmetry Groups for Linear Higher Dimensional Systems, Optimal system, similarity solution and Painlevé test on generalized modified Camassa-Holm equation, Unnamed Item, Equivalence classes of second-order ordinary differential equations with only a three-dimensional Lie algebra of point symmetries and linearisation., First integrals and reduction of a class of nonlinear higher order ordinary differential equations., Nonlocal symmetries and integrable ordinary differential equations: ẍ+3xẋ+x3= and its generalizations, Symmetries, integrals and solutions of ordinary differential equations of maximal symmetry, Generalisations of the LaplaceRungeLenz Vector, Reducing \(y=F(x,y,y')\) to first order., Algebraic properties of first integrals for systems of second-order ordinary differential equations of maximal symmetry, Exceptional properties of second and third order ordinary differential equations of maximal symmetry, Noether's theorem and symmetry

Uses Software

• LIE

Cites Work

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