KMS Of Academy of mathematics and systems sciences, CAS
| schrodingersolitonfromlorentzianmanifolds | |
| Chong SONG1; You De WANG2 | |
| 2011 | |
| Source Publication | actamathematicasinicaenglishseries
 |
| ISSN | 1439-8516 |
| Volume | 27Issue:8Pages:1455 |
| Abstract | In this paper,we introduce a new notion named as Schrodinger soliton.The so-called Schrodinger solitons are a class of solitary wave solutions to the Schrodinger flow equation from a Riemannian manifold or a Lorentzian manifold M into a Kahler manifold N.If the target manifold N admits a Killing potential,then the Schrodinger soliton reduces to a harmonic map with potential from M into N.Especially,when the domain manifold M is a Lorentzian manifold,the Schrodinger soliton is a wave map with potential into N.Then we apply the geometric energy method to this wave map system,and obtain the local well-posedness of the corresponding Cauchy problem as well as global existence in 1 + 1 dimension.As an application,we obtain the existence of SchrSdinger soliton solution to the hyperbolic Ishimori system. |
| Language | 英语 |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/36672 |
| Collection | 中国科学院数学与系统科学研究院 |
| Affiliation | 1.LMAM,School of Mathematical Sciences,Peking University 2.中国科学院数学与系统科学研究院 |
| Recommended Citation GB/T 7714 | Chong SONG,You De WANG. schrodingersolitonfromlorentzianmanifolds[J]. actamathematicasinicaenglishseries,2011,27(8):1455. |
| APA | Chong SONG,&You De WANG.(2011).schrodingersolitonfromlorentzianmanifolds.actamathematicasinicaenglishseries,27(8),1455. |
| MLA | Chong SONG,et al."schrodingersolitonfromlorentzianmanifolds".actamathematicasinicaenglishseries 27.8(2011):1455. |
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