Symmetry algebras of third-order ordinary differential equations

DOI10.1063/1.529566zbMath0777.34011OpenAlexW1983735271MaRDI QIDQ4031004

Omri Gat

Publication date: 1 April 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529566

zbMATH Keywords

classificationLie algebrasstabilizerssymmetries of third order ordinary differential equations

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (10)

On Computing Linearizing Coordinates From Symmetry Algebra ⋮ Generalized Solvable Structures Associated to Symmetry Algebras Isomorphic to $$\mathfrak {gl}(2,\mathbb {R}) \ltimes \mathbb {R}$$ ⋮ On the integrability of GL(2,ℝ)‐invariant fourth‐order ordinary differential equations ⋮ Generating functions and existence of contact symmetries of third order scalar ordinary differential equations ⋮ Classification of Lie point symmetries for quadratic Liénard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$ẍ+f(x)ẋ2+g(x)=0 ⋮ Symmetry group classification of ordinary differential equations: Survey of some results ⋮ Solvable structures associated to the nonsolvable symmetry algebra \(\mathfrak{sl}(2,\mathbb{R})\) ⋮ A novel Bäcklund invariance of a nonlinear differential equation ⋮ On the uniqueness of the Schwarzian and linearisation by nonlocal contact transformation ⋮ First integrals and parametric solutions of third-order ODEs admitting $ {\mathfrak{sl}(2, \mathbb{R})} $

Cites Work

• Symmetry Lie algebras of \(n\)th order ordinary differential equations

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