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, 1988, Volume 74, Number 1, Pages 29–45 (Mi tmf4166)  
This article is cited in 68 scientific papers (total in 68 papers)

Exact integration of nonlinear Schrödinger equation

A. R. Its, A. V. Rybin, M. A. Sall'
Full-text PDF (1396 kB) Citations (68)
References:
PDF
HTML
Abstract: The degeneracy of finite-gap expressions is used to obtain a manyparameter family of smooth periodic and almost periodic solutions of the nonlinear Schrödinger equation in terms of elementary functions. A scheme for obtaining these solutions by the Darboux transformation method is considered. Propagation of a soliton on an arbitrary background is studied.
Received: 04.06.1986
English version:
Theoretical and Mathematical Physics, 1988, Volume 74, Issue 1, Pages 20–32
DOI: https://doi.org/10.1007/BF01018207
Bibliographic databases:
Language: Russian
Citation: A. R. Its, A. V. Rybin, M. A. Sall', “Exact integration of nonlinear Schrödinger equation”, TMF, 74:1 (1988), 29–45; Theoret. and Math. Phys., 74:1 (1988), 20–32
Citation in format AMSBIB
\Bibitem{ItsRybSal88}
\by A.~R.~Its, A.~V.~Rybin, M.~A.~Sall'
\paper Exact integration of nonlinear Schr\"odinger equation
\jour TMF
\yr 1988
\vol 74
\issue 1
\pages 29--45
\mathnet{http://mi.mathnet.ru/tmf4166}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=940459}
\zmath{https://zbmath.org/?q=an:0678.35012}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 74
\issue 1
\pages 20--32
\crossref{https://doi.org/10.1007/BF01018207}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988P630800003}
Linking options:
  • https://www.mathnet.ru/eng/tmf4166
  • https://www.mathnet.ru/eng/tmf/v74/i1/p29
    • This publication is cited in the following 68 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:753
    Full-text PDF :305
    References:81
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024