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, ZY; Yan, FC |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2015 |
| 卷号 | 64期号:3页码:309-319 |
| 关键词 | defocusing cubic NLS equation the theory of upper and lower solutions periodic solutions dark solitons |
| 通讯作者 | Yan, ZY (reprint author), Chinese Acad Sci, Inst Syst Sci, AMSS, Key Lab Math Mech, Beijing 100190, Peoples R China. |
| 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. |
| 学科主题 | Physics |
| 类目[WOS] | Physics, Multidisciplinary |
| 关键词[WOS] | WAVES ; RESONANCES ; EXISTENCE ; GASES ; MEDIA |
| 收录类别 | SCI |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/20876]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 推荐引用方式 GB/T 7714 | Yan, ZY,Yan, FC. 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, ZY,&Yan, FC.(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, ZY,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：理论物理研究所
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