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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 175, Number 2, Pages 173–177
DOI: https://doi.org/10.4213/tmf8437 (Mi tmf8437) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Renormalization in the Cauchy problem for the Korteweg–de Vries equation

S. V. Zakharov

Institute of Mathematics and Mechanics, Ural Division, RAS, Yekaterinburg, Russia
Full-text PDF (280 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf8437
Abstract: We consider the Cauchy problem for the Korteweg–de Vries equation with a small parameter at the highest derivative and a large gradient of the initial function. We construct an asymptotic solution of this problem by the renormalization method.
Keywords: Korteweg–de Vries equation, Cauchy problem, asymptotic solution, renormalization.
Received: 29.10.2012
English version:
Theoretical and Mathematical Physics, 2013, Volume 175, Issue 2, Pages 592–595
DOI: https://doi.org/10.1007/s11232-013-0048-7
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Zakharov, “Renormalization in the Cauchy problem for the Korteweg–de Vries equation”, TMF, 175:2 (2013), 173–177; Theoret. and Math. Phys., 175:2 (2013), 592–595
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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    References:44
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