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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 3, Pages 428–437
DOI: https://doi.org/10.4213/tmf6362 (Mi tmf6362) 		 
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
Full-text PDF (373 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf6362
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.
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 3, Pages 779–786
DOI: https://doi.org/10.1007/s11232-009-0066-7
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:66
    First page:22
     
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