Generalized Solvable Structures and First Integrals for ODEs Admitting an 𝔰𝔩(2, ℝ) Symmetry Algebra

DOI10.1080/14029251.2019.1591712zbMath1471.34066OpenAlexW2920969892WikidataQ114098812 ScholiaQ114098812MaRDI QIDQ5197841

Paola Morando, Concepción Muriel, Adrián Tonatiuh Ruiz

Publication date: 20 September 2019

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

Full work available at URL: https://doi.org/10.1080/14029251.2019.1591712

zbMATH Keywords

first integralnonsolvable symmetry algebrageneralized solvable structure

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (5)

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 ⋮ Unnamed Item ⋮ Systems of Vector Fields for the Integration of Ordinary Differential Equations ⋮ \( \mathscr{C}^\infty \)-symmetries of distributions and integrability

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