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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 11, Pages 1812–1823
DOI: https://doi.org/10.7868/S0044466917110084 (Mi zvmmf10637) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Rapidly oscillating solutions of a generalized Korteweg–de Vries equation

S. A. Kashchenko

Yaroslavl State University, Yaroslavl, Russia
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DOI: https://doi.org/10.7868/S0044466917110084
Abstract: For a generalized Korteweg–de Vries equation, the existence of families of rapidly oscillating periodic solutions is proved and their asymptotic representation is found. The asymptotics of tori of different dimensions are examined. Formulas for solutions depending on all parameters of the problem are derived.
Key words: generalized Korteweg–de Vries equation, bifurcations, stability, normal forms, singular perturbations, dynamics of solutions.
Received: 09.02.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 11, Pages 1778–1788
DOI: https://doi.org/10.1134/S0965542517110082
Bibliographic databases:
Document Type: Article
UDC: 517.62
Language: Russian
Citation: S. A. Kashchenko, “Rapidly oscillating solutions of a generalized Korteweg–de Vries equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017), 1812–1823; Comput. Math. Math. Phys., 57:11 (2017), 1778–1788
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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