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...
Збережено в:
| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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 |
irk-123456789-147842 |
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dspace |
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irk-123456789-1478422019-02-17T01:27:27Z Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R) Ruiz, A. Muriel, C. 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. 2016 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147842 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Ruiz, A. Muriel, C. |
| spellingShingle |
Ruiz, A. Muriel, C. Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R) Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Ruiz, A. Muriel, C. |
| author_sort |
Ruiz, A. |
| title |
Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R) |
| 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) |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT ruiza solvablestructuresassociatedtothenonsolvablesymmetryalgebrasl2r AT murielc solvablestructuresassociatedtothenonsolvablesymmetryalgebrasl2r |
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2023-05-20T17:28:39Z |
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2023-05-20T17:28:39Z |
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1796153385401974784 |