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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 182, Number 2, Pages 213–222
DOI: https://doi.org/10.4213/tmf8785 (Mi tmf8785) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Blowing up solutions of the modified Novikov–Veselov equation and minimal surfaces

I. A. Taimanovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (409 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf8785
Abstract: We propose a construction of blowup solutions of the modified Novikov–Veselov equation based on the Moutard transformation of the two-dimensional Dirac operators and on its geometric interpretation in terms of surface geometry. We consider an explicit example of such a solution constructed using the minimal Enneper surface.
Keywords: blowup solution, modified Novikov–Veselov equation, Moutard transformation, two-dimensional Dirac operator, Weierstrass representation of surfaces, minimal surface.
Funding agency Grant number
Russian Science Foundation 14-11-00441
Received: 27.08.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 182, Issue 2, Pages 173–181
DOI: https://doi.org/10.1007/s11232-015-0255-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. A. Taimanov, “Blowing up solutions of the modified Novikov–Veselov equation and minimal surfaces”, TMF, 182:2 (2015), 213–222; Theoret. and Math. Phys., 182:2 (2015), 173–181
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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