RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor
Journal history

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Tr. Mosk. Mat. Obs.:
Year:
Volume:
Issue:
Page:
Find






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


Tr. Mosk. Mat. Obs., 2014, Volume 75, Issue 2, Pages 205–218 (Mi mmo564)  

Real-analytic solutions of the nonlinear Schrödinger equation

A. V. Domrin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We establish that the Riemann problem on the factorization of formal matrix-valued Laurent series subject to unitary symmetry has a solution. As an application, we show that any local real-analytic solution (in $ x$ and $ t$) of the focusing nonlinear Schrödinger equation has a real-analytic extension to some strip parallel to the $ x$-axis and that in each such strip there exists a solution that cannot be extended further.

Full text: PDF file (284 kB)
References: PDF file   HTML file

English version:
Transactions of the Moscow Mathematical Society, 2014, 75, 173–183

Document Type: Article
UDC: 517.547.24+517.956.4
MSC: 35Q55, 37K15
Received: 15.03.2014

Citation: A. V. Domrin, “Real-analytic solutions of the nonlinear Schrödinger equation”, Tr. Mosk. Mat. Obs., 75, no. 2, MCCME, M., 2014, 205–218; Trans. Moscow Math. Soc., 75 (2014), 173–183

Citation in format AMSBIB
\Bibitem{Dom14}
\by A.~V.~Domrin
\paper Real-analytic solutions of the nonlinear Schr\"odinger equation
\serial Tr. Mosk. Mat. Obs.
\yr 2014
\vol 75
\issue 2
\pages 205--218
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo564}
\elib{http://elibrary.ru/item.asp?id=23780163}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2014
\vol 75
\pages 173--183
\crossref{https://doi.org/10.1090/S0077-1554-2014-00236-3}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84960117409}


Linking options:
  • http://mi.mathnet.ru/eng/mmo564
  • http://mi.mathnet.ru/eng/mmo/v75/i2/p205

    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
  • Number of views:
    This page:124
    Full text:59
    References:26

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2018