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Funktsional'nyi Analiz i ego Prilozheniya, 2013, Volume 47, Issue 1, Pages 79–82
DOI: https://doi.org/10.4213/faa3100 (Mi faa3100) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Absence of Conductivity-Type Solitons for the Novikov–Veselov Equation at Zero Energy

A. V. Kazeykina

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (156 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa3100
Abstract: It is proved that the Novikov–Veselov equation (an analogue of the KdV equation in dimension 2+1) at zero energy does not have sufficiently localized soliton solutions of conductivity type.
Keywords: Novikov–Veselov equation, solitons, two-dimensional Schrödinger equation, potentials of conductivity type.
Received: 28.06.2011
English version:
Functional Analysis and Its Applications, 2013, Volume 47, Issue 1, Pages 64–66
DOI: https://doi.org/10.1007/s10688-013-0008-x
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. V. Kazeykina, “Absence of Conductivity-Type Solitons for the Novikov–Veselov Equation at Zero Energy”, Funktsional. Anal. i Prilozhen., 47:1 (2013), 79–82; Funct. Anal. Appl., 47:1 (2013), 64–66
Citation in format AMSBIB
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  • https://doi.org/10.4213/faa3100
  • https://www.mathnet.ru/eng/faa/v47/i1/p79
    • This publication is cited in the following 2 articles:
    1. A. V. Kazeykina, “Absence of Solitons with Sufficient Algebraic Localization for the Novikov–Veselov Equation at Nonzero Energy”, Funct. Anal. Appl., 48:1 (2014), 24–35  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. Anna Kazeykina, “Solitons and large time behavior of solutions of a multidimensional integrable equation”, Journées équations aux dérivées partielles, 2014, 1  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Full-text PDF :175
    References:98
    First page:37
     
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