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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}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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