mathematicsВестник российских университетов. МатематикаRussian Universities Reports. Mathematics2686-96672782-3342Тамбовский государственный университет имени Г.Р. Державина10.20310/1810-0198-2019-24-125-99-111mathematics-293Research ArticleСТАТЬИARTICLESУбывание решений обобщенного уравнения Кортевега-де Фриза при больших временахDecay of the solutions of the generalized Korteweg-de Vries equation at large timesНиколаевАртем АлександровичNikolayevArtyom A.nicepeopleproject@gmail.comФГАОУ ВО «Российский университет дружбы народов»РоссияRUDN UniversityRussian Federation2019220420192412599111Copyright © Николаев А.А., 20192019Николаев А.А.Nikolayev A.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://mathematics.elpub.ru/jour/article/view/293

В данной работе доказано существование слабых решений для нелинейного обобщенного уравнения Кортевега-де Фриза и найдены условия, при которых слабые решения убывают к нулю при больших временах.

In this paper the existence of weak solutions of the nonlinear generalized KdV equation is shown and conditions for which weak solutions decay to zero at large times are obtained.

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The authors declare that there are no conflicts of interest present.