PERIODIC SOLUTIONS OF INHOMOGENEOUS SCHRODINGER FLOWS INTO 2-SPHERE

doi:10.3934/dcdss.2016074

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	PERIODIC SOLUTIONS OF INHOMOGENEOUS SCHRODINGER FLOWS INTO 2-SPHERE
	Huang, Ping-Liang 1; Wang, Youde2,3
	2016-12-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
ISSN	1937-1632
卷号	9 期号:6 页码:1775-1795
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.
关键词	Schrodinger flow special periodic solution inhomogeneous Heisenberg spin chain system S-1-invariant convolution symmtry
DOI	10.3934/dcdss.2016074
语种	英语
资助项目	CNSF grant[11471316]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000387663900011
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24137
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.