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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 1, Pages 64–80
DOI: https://doi.org/10.4213/tmf6333 (Mi tmf6333) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Aspects of proper differential sequences of ordinary differential equations

N. Eulera, P. G. L. Leachb

a Luleå University of Technology
b School of Mathematical Sciences, University of KwaZulu-Natal
Full-text PDF (418 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf6333
Abstract: We define a proper differential sequence of ordinary differential equations and introduce a method for deriving an alternate sequence of integrals for such a sequence. We describe some general properties, illustrated by several examples.
Keywords: sequence of ordinary differential equations, recursion operator, symmetry analysis of ordinary differential equations, integrable ordinary differential equation.
Received: 22.05.2008
Revised: 28.08.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 1, Pages 474–487
DOI: https://doi.org/10.1007/s11232-009-0038-y
Bibliographic databases:
Language: Russian
Citation: N. Euler, P. G. L. Leach, “Aspects of proper differential sequences of ordinary differential equations”, TMF, 159:1 (2009), 64–80; Theoret. and Math. Phys., 159:1 (2009), 474–487
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v159/i1/p64
    • This publication is cited in the following 12 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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