scientific article; zbMATH DE number 1133010
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Publication:4381891
zbMath0897.34013MaRDI QIDQ4381891
Annett Schmucker, Günter Czichowski
Publication date: 25 October 1998
Full work available at URL: https://eudml.org/doc/232566
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
symmetry algebrathird-order ordinary differential equationscanonical realizationsassociated normal formsfour-dimensional real Lie algebras
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Nonlinear ordinary differential equations and systems (34A34) Structure theory for Lie algebras and superalgebras (17B05)
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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 ⋮ Lie-point symmetries preserved by derivative ⋮ Transformation groups on real plane and their differential invariants ⋮ Solvable structures associated to the nonsolvable symmetry algebra \(\mathfrak{sl}(2,\mathbb{R})\) ⋮ First integrals and parametric solutions of third-order ODEs admitting $ {\mathfrak{sl}(2, \mathbb{R})} $
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