Rapidly oscillating solutions of a generalized Korteweg–de Vries equation


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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.

作者简介

S. Kashchenko

Yaroslavl State University; National Research Nuclear University “MEPhI,”

编辑信件的主要联系方式.
Email: kasch@uniyar.ac.ru
俄罗斯联邦, Yaroslavl, 150000; Moscow, 115409

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