中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
EXISTENCE AND STABILITY OF STANDING WAVES FOR A COUPLED NONLINEAR SCHRODINGER SYSTEM

文献类型:期刊论文

作者Zeng, Xiaoyu; Zhang, Yimin; Zhou, Huansong
刊名ACTA MATHEMATICA SCIENTIA
出版日期2015
卷号35期号:1页码:45-70
关键词nonlinear Schrodinger system constrained variational problem standing waves orbital stubility
英文摘要We study the existence and stability of the standing waves of two coupled Schrodinger equations with potentials vertical bar x vertical bar(bi) (b(i) is an element of R, i = 1, 2). Under suitable conditions on the growth of the nonlinear terms, we first establish the existence of standing waves of the Schrodinger system by solving a L-2-normalized minimization problem, then prove that the set of all minimizers of this minimization problem is stable. Finally, we obtain the least energy solutions by the Nehari method and prove that the orbit sets of these least energy solutions are unstable, which generalizes the results of [11] where b(1) = b(2) = 2.
WOS标题词Science & Technology ; Physical Sciences
类目[WOS]Mathematics
研究领域[WOS]Mathematics
关键词[WOS]CONCENTRATION-COMPACTNESS PRINCIPLE ; SOLITARY WAVES ; ORBITAL STABILITY ; GROUND-STATE ; R-N ; EQUATIONS ; INSTABILITY ; CALCULUS
收录类别SCI
语种英语
WOS记录号WOS:000348487700002
公开日期2015-07-14
源URL[http://ir.wipm.ac.cn/handle/112942/1519]  
专题武汉物理与数学研究所_数学物理与应用研究部
作者单位Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式
GB/T 7714
Zeng, Xiaoyu,Zhang, Yimin,Zhou, Huansong. EXISTENCE AND STABILITY OF STANDING WAVES FOR A COUPLED NONLINEAR SCHRODINGER SYSTEM[J]. ACTA MATHEMATICA SCIENTIA,2015,35(1):45-70.
APA Zeng, Xiaoyu,Zhang, Yimin,&Zhou, Huansong.(2015).EXISTENCE AND STABILITY OF STANDING WAVES FOR A COUPLED NONLINEAR SCHRODINGER SYSTEM.ACTA MATHEMATICA SCIENTIA,35(1),45-70.
MLA Zeng, Xiaoyu,et al."EXISTENCE AND STABILITY OF STANDING WAVES FOR A COUPLED NONLINEAR SCHRODINGER SYSTEM".ACTA MATHEMATICA SCIENTIA 35.1(2015):45-70.

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来源:武汉物理与数学研究所

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