RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
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


TMF, 1999, Volume 118, Number 3, Pages 337–346 (Mi tmf705)  

Reflectionless sine-Gordon potentials with an infinite spectrum

A. B. Borisov, S. A. Zykov

Institute of Metal Physics, Ural Division of the Russian Academy of Sciences

Abstract: For the sine-Gordon $L$-operator, we use dressing chains to construct reflectionless potentials that are self-similar with respect to Darboux transformations. These potentials have an infinite spectrum arranged in a geometric progression. We use numerical methods to show that these potentials have a localized form with modulated tails.

DOI: https://doi.org/10.4213/tmf705

Full text: PDF file (223 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1999, 118:3, 264–271

Bibliographic databases:


Citation: A. B. Borisov, S. A. Zykov, “Reflectionless sine-Gordon potentials with an infinite spectrum”, TMF, 118:3 (1999), 337–346; Theoret. and Math. Phys., 118:3 (1999), 264–271

Citation in format AMSBIB
\Bibitem{BorZyk99}
\by A.~B.~Borisov, S.~A.~Zykov
\paper Reflectionless sine-Gordon potentials with an infinite spectrum
\jour TMF
\yr 1999
\vol 118
\issue 3
\pages 337--346
\mathnet{http://mi.mathnet.ru/tmf705}
\crossref{https://doi.org/10.4213/tmf705}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1713723}
\zmath{https://zbmath.org/?q=an:0944.35081}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 118
\issue 3
\pages 264--271
\crossref{https://doi.org/10.1007/BF02557320}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000080492800003}


Linking options:
  • http://mi.mathnet.ru/eng/tmf705
  • https://doi.org/10.4213/tmf705
  • http://mi.mathnet.ru/eng/tmf/v118/i3/p337

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:309
    Full text:137
    References:27
    First page:2

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020