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Funktsional'nyi Analiz i ego Prilozheniya, 2014, Volume 48, Issue 1, Pages 30–45
DOI: https://doi.org/10.4213/faa3133 (Mi faa3133) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Absence of Solitons with Sufficient Algebraic Localization for the Novikov–Veselov Equation at Nonzero Energy

A. V. Kazeykinaab

a M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
b École Polytechnique, Centre de Mathématiques Appliquées
Full-text PDF (216 kB) Citations (5)
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DOI: https://doi.org/10.4213/faa3133
Abstract: It is shown that the Novikov–Veselov equation (an analogue of the KdV equation in dimension $2+1$) at positive and negative energies does not have solitons with space localization stronger than $O(|x|^{-3})$ as $|x|\to\infty$.
Keywords: traveling wave, localized soliton, Novikov–Veselov equation.
Received: 02.01.2012
English version:
Functional Analysis and Its Applications, 2014, Volume 48, Issue 1, Pages 24–35
DOI: https://doi.org/10.1007/s10688-014-0043-2
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. V. Kazeykina, “Absence of Solitons with Sufficient Algebraic Localization for the Novikov–Veselov Equation at Nonzero Energy”, Funktsional. Anal. i Prilozhen., 48:1 (2014), 30–45; Funct. Anal. Appl., 48:1 (2014), 24–35
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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