| PERIODIC SOLUTIONS OF INHOMOGENEOUS SCHRODINGER FLOWS INTO 2-SPHERE | |
Huang, Ping-Liang1; Wang, Youde2,3
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| 2016-12-01 | |
| Source Publication | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
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| ISSN | 1937-1632 |
| Volume | 9Issue:6Pages:1775-1795 |
| Abstract | 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. |
| Keyword | Schrodinger flow special periodic solution inhomogeneous Heisenberg spin chain system S-1-invariant convolution symmtry |
| DOI | 10.3934/dcdss.2016074 |
| Language | 英语 |
| Funding Project | CNSF grant[11471316] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000387663900011 |
| Publisher | AMER INST MATHEMATICAL SCIENCES-AIMS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/24137 |
| Collection | 数学所 |
| Corresponding Author | Wang, Youde |
| Affiliation | 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 |
| Recommended Citation 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. |
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