Dark Solitons for the Defocusing Cubic Nonlinear Schrodinger Equation with the Spatially Periodic Potential and Non linearity
文献类型：期刊论文
| 作者 | Yan Zhen-Ya1,2 ; Yan Fang-Chi1
|
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2015-09-01 |
| 卷号 | 64期号:3页码:309-319 |
| ISSN号 | 0253-6102 |
| 关键词 | defocusing cubic NLS equation the theory of upper and lower solutions periodic solutions dark solitons |
| 英文摘要 | We study the existence of dark solitons of the defocusing cubic nonlinear Schrodinger (NLS) eqaution with the spatially-periodic potential and nonlinearity. Firstly, we propose six families of upper and lower solutions of the dynamical systems arising from the stationary defocusing NLS equation. Secondly, by regarding a dark soliton as a heteroclinic orbit of the Poincare map, we present some constraint conditions for the periodic potential and nonlinearity to show the existence of stationary dark solitons of the defocusing NLS equation for six different cases in terms of the theory of strict lower and upper solutions and the dynamics of planar homeomorphisms. Finally, we give the explicit dark solitons of the defocusing NLS equation with the chosen periodic potential and nonlinearity. |
| 资助项目 | National Natural Science Foundation of China[61178091] ; National Key Basic Research Program of China[2011CB302400] ; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China[Y4KF211CJ1] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| 出版者 | IOP PUBLISHING LTD |
| WOS记录号 | WOS:000364053400010 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21127]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan Zhen-Ya |
| 作者单位 | 1.Chinese Acad Sci, Inst Syst Sci, AMSS, Key Lab Math Mech, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan Zhen-Ya,Yan Fang-Chi. Dark Solitons for the Defocusing Cubic Nonlinear Schrodinger Equation with the Spatially Periodic Potential and Non linearity[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2015,64(3):309-319. |
| APA | Yan Zhen-Ya,&Yan Fang-Chi.(2015).Dark Solitons for the Defocusing Cubic Nonlinear Schrodinger Equation with the Spatially Periodic Potential and Non linearity.COMMUNICATIONS IN THEORETICAL PHYSICS,64(3),309-319. |
| MLA | Yan Zhen-Ya,et al."Dark Solitons for the Defocusing Cubic Nonlinear Schrodinger Equation with the Spatially Periodic Potential and Non linearity".COMMUNICATIONS IN THEORETICAL PHYSICS 64.3(2015):309-319. |
入库方式： OAI收割
来源：数学与系统科学研究院
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