Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 095, 28 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.095 (Mi sigma1394) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Tronquée Solutions of the Third and Fourth Painlevé Equations

Xiaoyue Xia

Department of Mathematics, The Ohio State University, 100 Math Tower, 231 West 18th Avenue, Columbus OH, 43210-1174, USA
Full-text PDF (476 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2018.095
Abstract: Recently in a paper by Lin, Dai and Tibboel, it was shown that the third and fourth Painlevé equations have tronquée and tritronquée solutions. We obtain global information about these tronquée and tritronquée solutions. We find their sectors of analyticity, their Borel summed representations in these sectors as well as the asymptotic position of the singularities near the boundaries of the analyticity sectors. We also correct slight errors in the paper mentioned.
Keywords: the third and fourth Painlevé equations; asymptotic position of singularities; tronquée solutions; tritronquée solutions; Borel summed representation.
Received: April 4, 2018; in final form August 30, 2018; Published online September 8, 2018
Bibliographic databases:
Document Type: Article
MSC: 34M25; 34M40; 34M55
Language: English
Citation: Xiaoyue Xia, “Tronquée Solutions of the Third and Fourth Painlevé Equations”, SIGMA, 14 (2018), 095, 28 pp.
Citation in format AMSBIB
\Bibitem{Xia18}
\by Xiaoyue~Xia
\paper Tronqu{\'e}e Solutions of the Third and Fourth Painlev{\'e} Equations
\jour SIGMA
\yr 2018
\vol 14
\papernumber 095
\totalpages 28
\mathnet{http://mi.mathnet.ru/sigma1394}
\crossref{https://doi.org/10.3842/SIGMA.2018.095}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000444055500001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85053700422}
Linking options:
  • https://www.mathnet.ru/eng/sigma1394
  • https://www.mathnet.ru/eng/sigma/v14/p95
    • 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
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:126
    Full-text PDF :20
    References:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024