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This article is cited in 9 scientific papers (total in 9 papers)
Nonlocal symmetries and reductions for some ordinary differential equations
M. L. Gandarias Universidad de Cadiz
Abstract:
We derive nonlocal symmetries for ordinary differential equations (ODEs). These symmetries are derived by embedding the ODE in an auxiliary system. Using these symmetries, we find that the order of the ODE can be reduced even if it does not admit point symmetries.
Keywords:
conditional symmetry, nonlocal symmetry, ordinary differential equation.
Citation:
M. L. Gandarias, “Nonlocal symmetries and reductions for some ordinary differential equations”, TMF, 159:3 (2009), 428–437; Theoret. and Math. Phys., 159:3 (2009), 779–786
Linking options:
https://www.mathnet.ru/eng/tmf6362https://doi.org/10.4213/tmf6362 https://www.mathnet.ru/eng/tmf/v159/i3/p428
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