ORBITAL STABILITY FOR SCHRÖDINGER SYSTEMS WITH NONAUTONOMOUS COUPLED NONLINEARITIES

doi:10.1016/S0252-9602(13)60014-4

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (2): 495-504.doi: 10.1016/S0252-9602(13)60014-4

ORBITAL STABILITY FOR SCHRÖDINGER SYSTEMS WITH NONAUTONOMOUS COUPLED NONLINEARITIES

郭青

College of Science, Minzu University of China, Beijing 100081, China

收稿日期:2011-11-02 修回日期:2012-11-09 出版日期:2013-03-20 发布日期:2013-03-20

ORBITAL STABILITY FOR SCHRÖDINGER SYSTEMS WITH NONAUTONOMOUS COUPLED NONLINEARITIES

GUO Qing

College of Science, Minzu University of China, Beijing 100081, China

Received:2011-11-02 Revised:2012-11-09 Online:2013-03-20 Published:2013-03-20

摘要/Abstract

摘要：

We prove the existence and the orbital stability of standing waves for the nonautonomous Schr¨odinger system
iu_t + Δu − a(x)u + (|u|^2p + b(x)|u|^p−1|v|^p+1Δu = 0, x ∈ R^N,
iv_t + Δv − a(x)v + (|v|^2p+ b(x)|v|^p−1|u|^p+1Δv = 0, x ∈ R^Nunder suitable conditions on the coefficient functions a and b. We follow the idea of analyzing the compactness of minimizing sequence of the constrained minimization problems.

关键词: Nonautonomous system, orbital stability, standing waves

Abstract:

Key words: Nonautonomous system, orbital stability, standing waves

中图分类号:

35Q55

郭青. ORBITAL STABILITY FOR SCHRÖDINGER SYSTEMS WITH NONAUTONOMOUS COUPLED NONLINEARITIES[J]. 数学物理学报(英文版), 2013, 33(2): 495-504.

GUO Qing. ORBITAL STABILITY FOR SCHRÖDINGER SYSTEMS WITH NONAUTONOMOUS COUPLED NONLINEARITIES[J]. Acta mathematica scientia,Series B, 2013, 33(2): 495-504.

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ORBITAL STABILITY FOR SCHRÖDINGER SYSTEMS WITH NONAUTONOMOUS COUPLED NONLINEARITIES

ORBITAL STABILITY FOR SCHRÖDINGER SYSTEMS WITH NONAUTONOMOUS COUPLED NONLINEARITIES

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