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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 024, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.024 (Mi sigma370) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Bäcklund Transformations for First and Second Painlevé Hierarchies

Ayman Hashem Sakka

Department of Mathematics, Islamic University of Gaza, P. O. Box 108, Rimal, Gaza, Palestine
Full-text PDF (200 kB) Citations (8)
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DOI: https://doi.org/10.3842/SIGMA.2009.024
Abstract: We give Bäcklund transformations for first and second Painlevé hierarchies. These Bäcklund transformations are generalization of known Bäcklund transformations of the first and second Painlevé equations and they relate the considered hierarchies to new hierarchies of Painlevé-type equations.
Keywords: Painlevé hierarchies; Bäcklund transformations.
Received: November 25, 2008; in final form February 24, 2009; Published online March 2, 2009
Bibliographic databases:
Document Type: Article
MSC: 34M55; 33E17
Language: English
Citation: Ayman Hashem Sakka, “Bäcklund Transformations for First and Second Painlevé Hierarchies”, SIGMA, 5 (2009), 024, 11 pp.
Citation in format AMSBIB
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\by Ayman Hashem Sakka
\paper B\"acklund Transformations for First and Second Painlev\'e Hierarchies
\jour SIGMA
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\vol 5
\papernumber 024
\totalpages 11
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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