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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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Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R)
Інший ID:
2010 Mathematics Subject Classification: 34A05; 34A26; 34C14
DOI:10.3842/SIGMA.2016.077
DOI:10.3842/SIGMA.2016.077
Посилання:
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.
Підтримка:
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.
Дата:
2016
Переглядів:
539
Завантажень:
243
Анотація:
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.
