Rapidly oscillating solutions of a generalized Korteweg–de Vries equation
- Autores: Kashchenko S.A.1,2
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Afiliações:
- Yaroslavl State University
- National Research Nuclear University “MEPhI,”
- Edição: Volume 57, Nº 11 (2017)
- Páginas: 1778-1788
- Seção: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/179504
- DOI: https://doi.org/10.1134/S0965542517110082
- ID: 179504
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Resumo
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.
Sobre autores
S. Kashchenko
Yaroslavl State University; National Research Nuclear University “MEPhI,”
Autor responsável pela correspondência
Email: kasch@uniyar.ac.ru
Rússia, Yaroslavl, 150000; Moscow, 115409
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