KMS Of Academy of mathematics and systems sciences, CAS
| Geometric Schrodinger-Airy flows on Kahler manifolds | |
| Alternative Title | Geometric Schrodinger–Airy Flows on Kahler Manifolds |
| Sun Xiao Wei1; Wang You De2 | |
| 2013-01-01 | |
| Source Publication | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| ISSN | 1439-8516 |
| Volume | 29Issue:2Pages:209-240 |
| Abstract | We define a class of geometric flows on a complete Kahler manifold to unify some physical and mechanical models such as the motion equations of vortex filament, complex-valued mKdV equations, derivative nonlinear Schrodinger equations etc. Furthermore, we consider the existence for these flows from S (1) into a complete Kahler manifold and prove some local and global existence results. |
| Other Abstract | We define a class of geometric flows on a complete Kahler manifold to unify some physical and mechanical models such as the motion equations of vortex filament, complex-valued mKdV equations, derivative nonlinear Schrodinger equations etc. Furthermore, we consider the existence for these flows from S1 into a complete Kahler manifold and prove some local and global existence results. |
| Keyword | GLOBAL WELL-POSEDNESS VORTEX FILAMENT SYMMETRIC-SPACES MKDV EQUATIONS AXIAL-FLOW MAPS SOLITON KDV Schrodinger-Airy flow complex-valued mKdV equation KdV flow generalized Hasimoto transformation geometric energy method conversation laws |
| Indexed By | CSCD |
| Language | 英语 |
| Funding Project | [National Natural Science Foundation of China] |
| CSCD ID | CSCD:4777794 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/56121 |
| Collection | 中国科学院数学与系统科学研究院 |
| Affiliation | 1.Cent University Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China 2.中国科学院数学与系统科学研究院 |
| Recommended Citation GB/T 7714 | Sun Xiao Wei,Wang You De. Geometric Schrodinger-Airy flows on Kahler manifolds[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2013,29(2):209-240. |
| APA | Sun Xiao Wei,&Wang You De.(2013).Geometric Schrodinger-Airy flows on Kahler manifolds.ACTA MATHEMATICA SINICA-ENGLISH SERIES,29(2),209-240. |
| MLA | Sun Xiao Wei,et al."Geometric Schrodinger-Airy flows on Kahler manifolds".ACTA MATHEMATICA SINICA-ENGLISH SERIES 29.2(2013):209-240. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment