Solitary waves on nonlocal Fermi–Pasta–Ulam lattices: Exponential localization

The paper is devoted to Fermi–Pasta–Ulam lattices with nonlocal interaction. Under natural assumptions we show that all solitary traveling waves are exponentially localized. We reduce the problem to a linear eigenvalue problem for certain integral operator. Then we use functional analysis tools and exponentially weighted spaces of functions to prove the localization of solitary waves. © 2019 Elsevier Ltd

Авторы
Pankov A. 1, 2
Издательство
Elsevier Ltd
Язык
Английский
Страницы
603-612
Статус
Опубликовано
Том
50
Год
2019
Организации
  • 1 Department of Mathematics, Morgan State University, Baltimore, MD 21251, United States
  • 2 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Ключевые слова
Exponential localization; Fermi–Pasta–Ulam lattice; Nonlocal interaction; Solitary wave
Дата создания
19.07.2019
Дата изменения
19.07.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/38525/
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