dc.contributor.author | Bittencourt Moraes, Gabriel E. | |
dc.contributor.author | Borluk, Handan | |
dc.contributor.author | de Loreno, Guilherme | |
dc.contributor.author | Muslu, Gülçin Mihriye | |
dc.contributor.author | Natali, Fábio | |
dc.date.accessioned | 2022-10-07T07:39:15Z | |
dc.date.available | 2022-10-07T07:39:15Z | |
dc.date.issued | 2022 | en_US |
dc.identifier.citation | Bittencourt Moraes, G. E., Borluk, H., de Loreno, G., Muslu, G. M. ve Natali, F. (2022). Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrödinger equation. Journal of Differential Equations, 341, 263-291. https://doi.org/10.1016/j.jde.2022.09.015 | en_US |
dc.identifier.issn | 0022-0396 | |
dc.identifier.uri | https://doi.org/10.1016/j.jde.2022.09.015 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12511/9804 | |
dc.description.abstract | In this paper, the existence and orbital stability of the periodic standing wave solutions for the nonlinear fractional Schrödinger (fNLS) equation with cubic nonlinearity is studied. The existence is determined by using a minimizing constrained problem in the complex setting and it is showed that the corresponding real solution is always positive. The orbital stability is proved by combining some tools regarding the oscillation theorem for fractional Hill operators and the Vakhitov-Kolokolov condition, well known for Schrödinger equations. We then perform a numerical approach to generate the periodic standing wave solutions of the fNLS equation by using the Petviashvili's iteration method. We also investigate the Vakhitov-Kolokolov condition numerically which cannot be obtained analytically for some values of the order of the fractional derivative. | en_US |
dc.description.sponsorship | Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES) ; Fundacao Araucaria de Apoio ao Desenvolvimento Cientifico e Tecnologico do Estado do Parana FA ; Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ) | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Academic Press Inc. | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Existence and Uniqueness of Minimizers | en_US |
dc.subject | Fractional Schrödinger Equation | en_US |
dc.subject | Orbital Stability | en_US |
dc.subject | Small-Amplitude Periodic Waves | en_US |
dc.title | Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrödinger equation | en_US |
dc.type | article | en_US |
dc.relation.ispartof | Journal of Differential Equations | en_US |
dc.department | İstanbul Medipol Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Bilgisayar Mühendisliği Bölümü | en_US |
dc.authorid | 0000-0003-2268-3992 | en_US |
dc.identifier.volume | 341 | en_US |
dc.identifier.startpage | 263 | en_US |
dc.identifier.endpage | 291 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.doi | 10.1016/j.jde.2022.09.015 | en_US |
dc.institutionauthor | Muslu, Gülçin Mihriye | |
dc.identifier.wosquality | Q1 | en_US |
dc.identifier.wos | 000870528100006 | en_US |
dc.identifier.scopus | 2-s2.0-85138500911 | en_US |
dc.identifier.scopusquality | Q1 | en_US |