An application of solvable structures to the reduction of ODEs with a lack of local symmetries is given. Solvable structures considered here are all defined in a nonlocal extension, or covering space, of a given ODE. Examples of the reduction procedure are provided.
Applications of solvable structures to the nonlocal symmetry-reduction of ODEs / D. Catalano Ferraioli, P. Morando. - In: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. - ISSN 1402-9251. - 16 (2009):1(2009), pp. 27-42. [10.1142/S1402925109000303]
Applications of solvable structures to the nonlocal symmetry-reduction of ODEs
D. Catalano FerraioliPrimo
;P. MorandoUltimo
2009
Abstract
An application of solvable structures to the reduction of ODEs with a lack of local symmetries is given. Solvable structures considered here are all defined in a nonlocal extension, or covering space, of a given ODE. Examples of the reduction procedure are provided.
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