TY - JOUR A2 - Sivasundaram, Seenith AU - Sha, Xiuyan AU - Ge, Huanmin AU - Xin, Jie PY - 2015 DA - 2015/12/27 TI - On the Existence and Stability of Standing Waves for 2-Coupled Nonlinear Fractional Schrödinger System SP - 427487 VL - 2015 AB - 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. SN - 1026-0226 UR - https://doi.org/10.1155/2015/427487 DO - 10.1155/2015/427487 JF - Discrete Dynamics in Nature and Society PB - Hindawi Publishing Corporation KW - ER -