Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 2, Pages 405–409
DOI: https://doi.org/10.4213/tmf1865 (Mi tmf1865) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Complex Sine-Gordon-2: A New Algorithm for Multivortex Solutions on the Plane

N. Olver, I. V. Barashenkov

University of Cape Town
Full-text PDF (167 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf1865
Abstract: We present a new vorticity-raising transformation for the second integrable complexification of the sine-Gordon equation on the plane. The new transformation is a product of four Schlesinger maps of the Painleve-V equation to itself and allows constructing the $n$-vortex solution more efficiently than the previously reported transformation comprising a product of $2n$ maps.
Keywords: vortices, Backlund transformations, Painleve-V equation, complex sine-Gordon equation.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 2, Pages 1223–1226
DOI: https://doi.org/10.1007/s11232-005-0153-3
Bibliographic databases:
Language: Russian
Citation: N. Olver, I. V. Barashenkov, “Complex Sine-Gordon-2: A New Algorithm for Multivortex Solutions on the Plane”, TMF, 144:2 (2005), 405–409; Theoret. and Math. Phys., 144:2 (2005), 1223–1226
Citation in format AMSBIB
\Bibitem{OlvBar05}
\by N.~Olver, I.~V.~Barashenkov
\paper Complex Sine-Gordon-2: A New Algorithm for Multivortex Solutions on the Plane
\jour TMF
\yr 2005
\vol 144
\issue 2
\pages 405--409
\mathnet{http://mi.mathnet.ru/tmf1865}
\crossref{https://doi.org/10.4213/tmf1865}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2195013}
\zmath{https://zbmath.org/?q=an:1178.35335}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005TMP...144.1223O}
\elib{https://elibrary.ru/item.asp?id=17703449}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
\issue 2
\pages 1223--1226
\crossref{https://doi.org/10.1007/s11232-005-0153-3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000232092900019}
Linking options:
  • https://www.mathnet.ru/eng/tmf1865
  • https://doi.org/10.4213/tmf1865
  • https://www.mathnet.ru/eng/tmf/v144/i2/p405
    • This publication is cited in the following 9 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
    Statistics & downloads:
    Abstract page:375
    Full-text PDF :228
    References:52
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024