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Funktsional. Anal. i Prilozhen., 2013, Volume 47, Issue 1, Pages 79–82 (Mi faa3100)  

This article is cited in 1 scientific paper (total in 1 paper)

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

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

DOI: https://doi.org/10.4213/faa3100

Full text: PDF file (156 kB)
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English version:
Functional Analysis and Its Applications, 2013, 47:1, 64–66

Bibliographic databases:

Document Type: Article
UDC: 517.95
Received: 28.06.2011

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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  • http://mi.mathnet.ru/eng/faa/v47/i1/p79

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following 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
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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