Solvable structures associated to the nonsolvable symmetry algebra \(\mathfrak{sl}(2,\mathbb{R})\)

DOI10.3842/SIGMA.2016.077zbMath1345.34050arXiv1511.03025OpenAlexW2111838556MaRDI QIDQ739891

Concepción Muriel, Adrián Tonatiuh Ruiz

Publication date: 11 August 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03025

zbMATH Keywords

first integral\(\mathcal{C}^{\infty}\)-symmetrynonsolvable algebrasolvable structure

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (8)

Involutive pairs of \(\lambda\)-symmetries for \(n\)th-order ordinary differential equations ⋮ 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 ⋮ Parametric Solutions to a Static Fourth-Order Euler–Bernoulli Beam Equation in Terms of Lamé Functions ⋮ Exact general solution and first integrals of a remarkable static Euler-Bernoulli beam equation ⋮ Generalized Solvable Structures and First Integrals for ODEs Admitting an 𝔰𝔩(2, ℝ) Symmetry Algebra ⋮ Systems of Vector Fields for the Integration of Ordinary Differential Equations ⋮ First integrals and parametric solutions of third-order ODEs admitting $ {\mathfrak{sl}(2, \mathbb{R})} $

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