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, 2012, Volume 173, Number 2, Pages 268–292
DOI: https://doi.org/10.4213/tmf8315 (Mi tmf8315) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Nonlinear dynamics of a quasi-one-dimensional helicoidal structure

V. V. Kiselev, A. A. Raskovalov

Institute of Metal Physics, Ural Branch, RAS, Ekaterinburg, Russia
Full-text PDF (535 kB) Citations (13)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf8315
Abstract: We analytically describe solitons and spin waves in the helicoidal structure of magnets without an inversion center using the “dressing” method in the framework of the sine-Gordon model. Analyzing the nonlinear dynamics of spin waves in the helicoidal-structure background reduces to solving linear integral equations on a Riemann surface generated by the superstructure. We obtain spectral expansions of integrals of motion with the soliton and spin-wave contributions separated.
Keywords: helicoidal structure, sine-Gordon equation, Riemann problem, kink, breather.
Received: 15.11.2011
Revised: 11.03.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 173, Issue 2, Pages 1565–1586
DOI: https://doi.org/10.1007/s11232-012-0133-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Kiselev, A. A. Raskovalov, “Nonlinear dynamics of a quasi-one-dimensional helicoidal structure”, TMF, 173:2 (2012), 268–292; Theoret. and Math. Phys., 173:2 (2012), 1565–1586
Citation in format AMSBIB
\Bibitem{KisRas12}
\by V.~V.~Kiselev, A.~A.~Raskovalov
\paper Nonlinear dynamics of a~quasi-one-dimensional helicoidal structure
\jour TMF
\yr 2012
\vol 173
\issue 2
\pages 268--292
\mathnet{http://mi.mathnet.ru/tmf8315}
\crossref{https://doi.org/10.4213/tmf8315}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3172196}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012TMP...173.1565K}
\elib{https://elibrary.ru/item.asp?id=20732547}
\transl
\jour Theoret. and Math. Phys.
\yr 2012
\vol 173
\issue 2
\pages 1565--1586
\crossref{https://doi.org/10.1007/s11232-012-0133-3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000312081200006}
\elib{https://elibrary.ru/item.asp?id=20486594}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870757322}
Linking options:
  • https://www.mathnet.ru/eng/tmf8315
  • https://doi.org/10.4213/tmf8315
  • https://www.mathnet.ru/eng/tmf/v173/i2/p268
    • This publication is cited in the following 13 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:551
    Full-text PDF :176
    References:98
    First page:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024