On the Existence and Stability of Standing Waves for 2-Coupled Nonlinear Fractional Schrödinger System

Xiuyan Sha, Huanmin Ge and Jie Xin

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-8

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:427487

DOI: 10.1155/2015/427487

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