Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 266, Pages 54–63 (Mi tm1882)  
Multiscale Limit for Finite-Gap Sine-Gordon Solutions and Calculation of Topological Charge Using Theta-Functional Formulae

P. G. Grinevicha, K. V. Kaipab

a Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, Russia
b Department of Mathematics, University of Maryland, College Park, MD, USA
Full-text PDF (245 kB)
References:
PDF
HTML
Abstract: We introduce the so-called multiscale limit for spectral curves associated with real finite-gap sine-Gordon solutions. This technique allows us to solve the old problem of calculating the density of the topological charge for real finite-gap sine-Gordon solutions directly from the $\theta$-functional formulae.
Received in April 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 266, Pages 49–58
DOI: https://doi.org/10.1134/S0081543809030031
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: P. G. Grinevich, K. V. Kaipa, “Multiscale Limit for Finite-Gap Sine-Gordon Solutions and Calculation of Topological Charge Using Theta-Functional Formulae”, Geometry, topology, and mathematical physics. II, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 266, MAIK Nauka/Interperiodica, Moscow, 2009, 54–63; Proc. Steklov Inst. Math., 266 (2009), 49–58
Citation in format AMSBIB
\Bibitem{GriKai09}
\by P.~G.~Grinevich, K.~V.~Kaipa
\paper Multiscale Limit for Finite-Gap Sine-Gordon Solutions and Calculation of Topological Charge Using Theta-Functional Formulae
\inbook Geometry, topology, and mathematical physics.~II
\bookinfo Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2009
\vol 266
\pages 54--63
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm1882}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2603260}
\zmath{https://zbmath.org/?q=an:1181.35235}
\elib{https://elibrary.ru/item.asp?id=12901677}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2009
\vol 266
\pages 49--58
\crossref{https://doi.org/10.1134/S0081543809030031}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000270722100003}
\elib{https://elibrary.ru/item.asp?id=15304618}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350366347}
Linking options:
  • https://www.mathnet.ru/eng/tm1882
  • https://www.mathnet.ru/eng/tm/v266/p54
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024