Generalized Solvable Structures and First Integrals for ODEs Admitting an sl(2,R) Symmetry Algebra
Articolo
Data di Pubblicazione:
2019
Citazione:
Generalized Solvable Structures and First Integrals for ODEs Admitting an sl(2,R) Symmetry Algebra / P. Morando, C. Muriel, A. Ruiz. - In: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. - ISSN 1402-9251. - 26:2(2019), pp. 188-201. [10.1080/14029251.2019.1591712]
Abstract:
The notion of solvable structure is generalized in order to exploit the presence of an sl(2,R) algebra of symmetries for a kth-order ordinary differential equation E with k > 3. In this setting, the knowledge of a generalized solvable structure for E allows us to reduce E to a family of second-order linear ordinary differential equations depending on k − 3 parameters. Examples of explicit integration of fourth and fifth order equations are provided in order to illustrate the procedure.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
first integral; Generalized solvable structure; nonsolvable symmetry algebra
Elenco autori:
P. Morando, C. Muriel, A. Ruiz
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