On the existence and stability of standing waves for 2-coupled nonlinear fractional Schrödinger system
type: Item
instance of: scholarly article
title: On the existence and stability of standing waves for 2-coupled nonlinear fractional Schrödinger system
zbMATH Open document ID: 1418.35367
DOI: 10.1155/2015/427487
author: Xiuyan Sha
author: Huanmin Ge
author: Jie Xin
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We study a system of 2-coupled nonlinear fractional Schrödinger equations. Firstly, we construct constrained minimization problem to the system. Next, we prove the existence of standing waves for the system by using the concentration-compactness and commutator estimates method. Lastly, we also consider the set of minimizers of the constrained minimization problem. We prove that it is a stable set for initial value of the problem; that is, a solution to the system with initial value which is near the set will remain near it for all time.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 7025357
Wikidata QID: Q59105898
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/427487
OpenAlex ID: W2234225826
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description: scientific article; zbMATH DE number 7025357