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

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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dc.contributor.author	Ruiz, A.
dc.contributor.author	Muriel, C.
dc.date.accessioned	2019-02-16T09:12:15Z
dc.date.available	2019-02-16T09:12:15Z
dc.date.issued	2016
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 34A05; 34A26; 34C14
dc.identifier.other	DOI:10.3842/SIGMA.2016.077
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147842
dc.description.abstract	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 be integrated by quadratures as in the case of solvable symmetry algebras.	uk_UA
dc.description.sponsorship	The constructive comments and the ef forts of the editor and referees to improve the contents of this paper are gratefully acknowledged. The authors also thank Professor J.L. Romero for his assistance, patience and always valuable suggestions. This research was partially supported by the University of C´adiz and Junta de Andaluc´ıa research group FQM 377. A. Ruiz acknowledges the support of a grant of the University of C´adiz program “Movilidad Internacional, Becas UCAInternacional-Posgrado” during his stay at the University of Minnesota.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R)	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA