Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 6, Pages 951–964
DOI: https://doi.org/10.31857/S0044466922060072 (Mi zvmmf11407) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Partial Differential Equations

On solutions to the matrix nonlinear Schrödinger equation

A. V. Domrinabc

a Lomonosov Moscow State University, 119992, Moscow, Russia
b Institute of Mathematics with Computing Centre, Subdivision of the Ufa Federal Research Centre, Russian Academy of Sciences, 450008, Ufa, Russia
c Moscow Center of Fundamental and Applied Mathematics, Lomonosov Moscow State University, 119992, Moscow, Russia
Citations (1)
DOI: https://doi.org/10.31857/S0044466922060072
Abstract: It is shown that any real analytic solution can be continued to a globally meromorphic function of the spatial variable $x$ at each fixed value of the time variable $t$. In the totally focusing case, it is also shown that any local real analytic solution can be extended to a real analytic function on a maximum strip that is parallel to the axis $x$ and depends on the solution.
Key words: nonlinear Schrödinger equation, real analytic solutions, analytic continuation.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00474
This work was supported by the Russian Foundation for Basic Research, project no. 19-01-00474.
Received: 15.11.2021
Revised: 15.11.2021
Accepted: 11.02.2022
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 6, Pages 920–932
DOI: https://doi.org/10.1134/S0965542522060070
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: A. V. Domrin, “On solutions to the matrix nonlinear Schrödinger equation”, Zh. Vychisl. Mat. Mat. Fiz., 62:6 (2022), 951–964; Comput. Math. Math. Phys., 62:6 (2022), 920–932
Citation in format AMSBIB
\Bibitem{Dom22}
\by A.~V.~Domrin
\paper On solutions to the matrix nonlinear Schr\"odinger equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 6
\pages 951--964
\mathnet{http://mi.mathnet.ru/zvmmf11407}
\crossref{https://doi.org/10.31857/S0044466922060072}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4452823}
\elib{https://elibrary.ru/item.asp?id=48506072}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 6
\pages 920--932
\crossref{https://doi.org/10.1134/S0965542522060070}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11407
  • https://www.mathnet.ru/eng/zvmmf/v62/i6/p951
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:139
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024