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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 122, Number 1, Pages 72–87
DOI: https://doi.org/10.4213/tmf556 (Mi tmf556) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Nonlinear fourth-order differential equations with solutions in the form of transcendents

N. A. Kudryashov

Moscow Engineering Physics Institute (State University)
Full-text PDF (240 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf556
Abstract: We present two hierarchies of ordinary differential equations and give the relations between these hierarchies. We find rational and special solutions of one hierarchy. Solutions of two differential equations are shown to be essentially transcendental functions with respect to the integration constants.
English version:
Theoretical and Mathematical Physics, 2000, Volume 122, Issue 1, Pages 58–71
DOI: https://doi.org/10.1007/BF02551170
Bibliographic databases:
Language: Russian
Citation: N. A. Kudryashov, “Nonlinear fourth-order differential equations with solutions in the form of transcendents”, TMF, 122:1 (2000), 72–87; Theoret. and Math. Phys., 122:1 (2000), 58–71
Citation in format AMSBIB
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\paper Nonlinear fourth-order differential equations with solutions in the form of transcendents
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\pages 72--87
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\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 122
\issue 1
\pages 58--71
\crossref{https://doi.org/10.1007/BF02551170}
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  • https://doi.org/10.4213/tmf556
  • https://www.mathnet.ru/eng/tmf/v122/i1/p72
    • This publication is cited in the following 7 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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