Applications of Solvable Structures to the Nonlocal Symmetry-Reduction of Odes
نویسندگان
چکیده
An application of solvable structures to the reduction ODEs with a lack local symmetries is given. Solvable considered here are all defined in nonlocal extension, or covering space, given ODE. Examples procedure provided.
منابع مشابه
Local and nonlocal solvable structures in ODEs reduction
Solvable structures, likewise solvable algebras of local symmetries, can be used to integrate scalar ODEs by quadratures. Solvable structures, however, are particularly suitable for the integration of ODEs with a lack of local symmetries. In fact, under regularity assumptions, any given ODE always admits solvable structures even though finding them in general could be a very difficult task. In ...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2021
ISSN: ['1776-0852', '1402-9251']
DOI: https://doi.org/10.1142/s1402925109000303