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Matematicheskie Zametki, 2010, Volume 88, Issue 5, Pages 770–777
DOI: https://doi.org/10.4213/mzm8912 (Mi mzm8912) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the Singular Solutions of the Korteweg–de Vries Equation

S. I. Pokhozhaev

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (446 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm8912
Abstract: We consider two classes of singular solutions of the KdV equation: singular solutions of the Cauchy problem and singular traveling waves. In both cases, we establish sufficient conditions for their existence.
Keywords: Korteweg–de Vries equation, singular solution, Cauchy problem, traveling wave, nonlinear capacity, Hölder inequality.
Received: 28.06.2010
English version:
Mathematical Notes, 2010, Volume 88, Issue 5, Pages 741–747
DOI: https://doi.org/10.1134/S0001434610110131
Bibliographic databases:
Document Type: Article
UDC: 517.954
Language: Russian
Citation: S. I. Pokhozhaev, “On the Singular Solutions of the Korteweg–de Vries Equation”, Mat. Zametki, 88:5 (2010), 770–777; Math. Notes, 88:5 (2010), 741–747
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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