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PERIODIC SOLUTIONS OF INHOMOGENEOUS SCHRODINGER FLOWS INTO 2-SPHERE

文献类型：期刊论文

作者Huang, Ping-Liang1; Wang, Youde2,3
刊名DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
出版日期2016-12-01
卷号9期号:6页码:1775-1795
关键词Schrodinger flow special periodic solution inhomogeneous Heisenberg spin chain system S-1-invariant convolution symmtry
ISSN号1937-1632
DOI10.3934/dcdss.2016074
英文摘要In this paper, we consider the so called generalized inhomogeneous Schrodinger flows from a closed Riemann surface M into the standard 2-sphere S-2 associated with the energy functional given by E-f,(P)(u) = integral(M) (1/2f vertical bar del u vertical bar(2) + P (u(3))) dV(g) . We showed the existence of special periodic solutions to the generalized inhomogeneous Schrodinger flows from M with convolution symmetry (especially M = S-2) into S-2 when the function f and P satisfy certain conditions respectively. Especially, we show that the inhomogeneous Heisenberg spin chain system from a closed Riemann surface with convolution symmetry admits some special periodic solutions if the coupling function f satisfies some suitable conditions. We also prove that there exist an in finite number of special periodic solutions to the Landau-Lifshitz system with an external magnetic field from S-2 into S-2.
资助项目CNSF grant[11471316]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000387663900011
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/24136]  
专题数学所
通讯作者Wang, Youde
作者单位1.Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Beijing, Peoples R China
推荐引用方式
GB/T 7714		 Huang, Ping-Liang,Wang, Youde. PERIODIC SOLUTIONS OF INHOMOGENEOUS SCHRODINGER FLOWS INTO 2-SPHERE[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S,2016,9(6):1775-1795.
APA Huang, Ping-Liang,&Wang, Youde.(2016).PERIODIC SOLUTIONS OF INHOMOGENEOUS SCHRODINGER FLOWS INTO 2-SPHERE.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S,9(6),1775-1795.
MLA Huang, Ping-Liang,et al."PERIODIC SOLUTIONS OF INHOMOGENEOUS SCHRODINGER FLOWS INTO 2-SPHERE".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 9.6(2016):1775-1795.

入库方式： OAI收割

来源：数学与系统科学研究院

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