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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)
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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
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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