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On the Existence and Stability of Standing Waves for 2-Coupled Nonlinear Fractional Schrödinger System
Joint Authors
Xin, Jie
Ge, Huanmin
Sha, Xiuyan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-27
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Sha, Xiuyan& Ge, Huanmin& Xin, Jie. 2015. On the Existence and Stability of Standing Waves for 2-Coupled Nonlinear Fractional Schrödinger System. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060508
Modern Language Association (MLA)
Sha, Xiuyan…[et al.]. On the Existence and Stability of Standing Waves for 2-Coupled Nonlinear Fractional Schrödinger System. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1060508
American Medical Association (AMA)
Sha, Xiuyan& Ge, Huanmin& Xin, Jie. On the Existence and Stability of Standing Waves for 2-Coupled Nonlinear Fractional Schrödinger System. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1060508
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060508