A nonlinear Liouville property for the generalized Kawahara equation

In this paper, by applying the method of Martel and Merle [9], we prove that if the global solution of the generalized Kawahara equation (gKW) is close to the soliton (constructed by Kabakouala and Molinet [4]) at initial time in the energy space, moreover if this solution is uniformly localized, then it is identically equal to a soliton all time. © 2019 Elsevier Inc.

Авторы
Редакторы
-
Издательство
Academic Press Inc.
Номер выпуска
2
Язык
Английский
Страницы
1375-1403
Статус
Опубликовано
Подразделение
-
Номер
-
Том
474
Год
2019
Организации
  • 1 People's Friendship University of Russia (RUDN University), Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Ключевые слова
Generalized Kawahara equation; Nonlinear Liouville property; Solitary waves
Дата создания
19.07.2019
Дата изменения
19.07.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/38588/