Loading [MathJax]/jax/output/SVG/config.js
Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
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


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2021, Volume 110, Issue 5, Pages 751–765
DOI: https://doi.org/10.4213/mzm13246 (Mi mzm13246) 		 
This article is cited in 6 scientific papers (total in 7 papers)

The Moutard Transformation for the Davey–Stewartson II Equation and Its Geometrical Meaning

I. A. Taimanovab

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (525 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm13246
Abstract: The Moutard transformation for the solutions of the Davey–Stewartson II equation is constructed. It is geometrically interpreted using the spinor (Weierstrass) representation of surfaces in four-dimensional Euclidean space. Examples of solutions that have smooth fast decaying initial data and lose regularity in finite time are constructed by using the Moutard transformation and minimal surfaces.
Keywords: Davey–Stewartson equation, Moutard transformation, surfaces in four-dimensional space.
Funding agency Grant number
Russian Science Foundation 19-11-00044
This work was supported by the Russian Science Foundation under grant 19-11-00044.
Received: 02.08.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 5, Pages 754–766
DOI: https://doi.org/10.1134/S0001434621110122
Bibliographic databases:
Document Type: Article
UDC: 514.76+517.95
Language: Russian
Citation: I. A. Taimanov, “The Moutard Transformation for the Davey–Stewartson II Equation and Its Geometrical Meaning”, Mat. Zametki, 110:5 (2021), 751–765; Math. Notes, 110:5 (2021), 754–766
Citation in format AMSBIB
\Bibitem{Tai21}
\by I.~A.~Taimanov
\paper The Moutard Transformation for the Davey--Stewartson~II Equation and Its Geometrical Meaning
\jour Mat. Zametki
\yr 2021
\vol 110
\issue 5
\pages 751--765
\mathnet{http://mi.mathnet.ru/mzm13246}
\crossref{https://doi.org/10.4213/mzm13246}
\elib{https://elibrary.ru/item.asp?id=47545668}
\transl
\jour Math. Notes
\yr 2021
\vol 110
\issue 5
\pages 754--766
\crossref{https://doi.org/10.1134/S0001434621110122}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000730355100012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85121367614}
Linking options:
  • https://www.mathnet.ru/eng/mzm13246
  • https://doi.org/10.4213/mzm13246
  • https://www.mathnet.ru/eng/mzm/v110/i5/p751
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:405
    Full-text PDF :98
    References:55
    First page:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025