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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 1, Pages 101–109
DOI: https://doi.org/10.4213/tmf143 (Mi tmf143) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the Fourth Painlevé Hierarchy

N. A. Kudryashov

Moscow Engineering Physics Institute (State University)
Full-text PDF (168 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf143
Abstract: We use the inverse monodromy transform to find the fourth Painlevé hierarchy. The second and third members of this hierarchy are given. Special and rational solutions of the second and third members for the $P_4$ hierarchy are discussed. We apply the Painlevé test to the second member of the fourth Painlevé hierarchy.
Keywords: fourth Painlevé hierarchy, fourth Painlevé equation, Painlevé test, special and rational solutions.
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 1, Pages 86–93
DOI: https://doi.org/10.1023/A:1021871723852
Bibliographic databases:
Language: Russian
Citation: N. A. Kudryashov, “On the Fourth Painlevé Hierarchy”, TMF, 134:1 (2003), 101–109; Theoret. and Math. Phys., 134:1 (2003), 86–93
Citation in format AMSBIB
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\paper On the Fourth Painlev\'e Hierarchy
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\transl
\jour Theoret. and Math. Phys.
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\vol 134
\issue 1
\pages 86--93
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  • https://www.mathnet.ru/eng/tmf/v134/i1/p101
    • This publication is cited in the following 6 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:69
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