Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R)

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• ISSN: 1815-0659
• Main Authors: Ruiz, A., Muriel, C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147842
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R) / A. Ruiz, C. Muriel // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 31 назв. — англ.

Third-order ordinary differential equations with Lie symmetry algebras isomorphic to the nonsolvable algebra sl(2,R) admit solvable structures. These solvable structures can be constructed by using the basis elements of these algebras. Once the solvable structures are known, the given equation can b...