Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R)
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...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2016 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147842 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-147842 |
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dspace |
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Ruiz, A. Muriel, C. 2019-02-16T09:12:15Z 2019-02-16T09:12:15Z 2016 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. 1815-0659 2010 Mathematics Subject Classification: 34A05; 34A26; 34C14 DOI:10.3842/SIGMA.2016.077 https://nasplib.isofts.kiev.ua/handle/123456789/147842 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R) Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R) |
| spellingShingle |
Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R) Ruiz, A. Muriel, C. |
| title_short |
Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R) |
| title_full |
Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R) |
| title_fullStr |
Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R) |
| title_full_unstemmed |
Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R) |
| title_sort |
solvable structures associated to the nonsolvable symmetry algebra sl(2,r) |
| author |
Ruiz, A. Muriel, C. |
| author_facet |
Ruiz, A. Muriel, C. |
| publishDate |
2016 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147842 |
| citation_txt |
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. |
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AT ruiza solvablestructuresassociatedtothenonsolvablesymmetryalgebrasl2r AT murielc solvablestructuresassociatedtothenonsolvablesymmetryalgebrasl2r |
| first_indexed |
2025-12-02T05:41:15Z |
| last_indexed |
2025-12-02T05:41:15Z |
| _version_ |
1850861619734642688 |