Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics
文献类型：期刊论文
| 作者 | Zhang, Guoqiang1,2; Yan, Zhenya1,2
|
| 刊名 | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
 |
| 出版日期 | 2018-09-01 |
| 卷号 | 62页码:117-133 |
| 关键词 | equations Modulational instability Darboux transformation Nth-order vector rational and semi-rational rogue waves Superposition of rogue waves Dynamics |
| ISSN号 | 1007-5704 |
| DOI | 10.1016/j.cnsns.2018.02.008 |
| 英文摘要 | The integrable three-component nonlinear Schrodinger equations are systemically explored in this paper. We firstly find the conditions for the modulational instability of plane-wave solutions of the system. Secondly, we present the general formulae for the Nth-order vector rational and semi-rational rogue wave solutions by the generalized Darboux transformation and formal series method. Particularly, we find that the second-order vector rational RWs contain five, seven, and nine fundamental vector RWs, which can arrange with many novel excitation dynamical patterns such as pentagon, triangle, 'clawlike', line, hexagon, arrow, and trapezoid structures. Moreover, we also find two different kinds of Nth-order vector semi-rational RWs: one of which can demonstrate the coexistence of Nth-order vector rational RW and N parallel vector breathers and the other can demonstrate the coexistence of Nth-order vector rational RWs and N th-order Y-shaped vector breathers. We also exhibit distribution patterns of superposition of RWs, which can be constituted of different fundamental RW patterns. Finally, we numerically explore the dynamical behaviors of some chosen RWs. The results could excite the interest in such diverse fields as Bose-Einstein condensates, nonlinear fibers, and superfluids. (c) 2018 Elsevier B.V. All rights reserved. |
| 资助项目 | NSFC[11731014] ; NSFC[11571346] ; CAS Interdisciplinary Innovation Team |
| WOS研究方向 | Mathematics ; Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000429332800007 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30160]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Guoqiang,Yan, Zhenya. Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2018,62:117-133. |
| APA | Zhang, Guoqiang,&Yan, Zhenya.(2018).Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,62,117-133. |
| MLA | Zhang, Guoqiang,et al."Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 62(2018):117-133. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。