Email this article Rapidly oscillating solutions of a generalized Korteweg–de Vries equation
- Authors: Kashchenko S.A.1,2
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Affiliations:
- Yaroslavl State University
- National Research Nuclear University “MEPhI,”
- Issue: Vol 57, No 11 (2017)
- Pages: 1778-1788
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179504
- DOI: https://doi.org/10.1134/S0965542517110082
- ID: 179504
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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.
About the authors
S. A. Kashchenko
Yaroslavl State University; National Research Nuclear University “MEPhI,”
Author for correspondence.
Email: kasch@uniyar.ac.ru
Russian Federation, Yaroslavl, 150000; Moscow, 115409
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