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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 3, Pages 509–516 (Mi tmf1617)  
This article is cited in 1 scientific paper (total in 1 paper)

Integrable hierarchies: Painlevé indices and compatibility conditions

A. Pickering

Heriot Watt University
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Abstract: We consider the application of the Weiss–Tabor–Carnevale (WTC) Painlevé test to hierarchies of completely integrable evolution equations. A method of constructing the Painlevé index polynomial for such hierarchies is illustrated. For Burgers' hierarchy we are able to show that all WTC compatibility conditions are satisfied. This allows a simple construction of the Painlevé-Bäcklund transformation obtained from truncation of the principal Painlevé expansion.
English version:
Theoretical and Mathematical Physics, 1994, Volume 99, Issue 3, Pages 761–766
DOI: https://doi.org/10.1007/BF01017065
Bibliographic databases:
Language: Russian
Citation: A. Pickering, “Integrable hierarchies: Painlevé indices and compatibility conditions”, TMF, 99:3 (1994), 509–516; Theoret. and Math. Phys., 99:3 (1994), 761–766
Citation in format AMSBIB
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\by A.~Pickering
\paper Integrable hierarchies: Painlev\'e indices and compatibility conditions
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\vol 99
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\pages 509--516
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\zmath{https://zbmath.org/?q=an:0850.35102}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 99
\issue 3
\pages 761--766
\crossref{https://doi.org/10.1007/BF01017065}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PW12900021}
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  • https://www.mathnet.ru/eng/tmf/v99/i3/p509
    • This publication is cited in the following 1 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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