Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability
文献类型：期刊论文
| 作者 | Wen, Xiao-Yong1,2; Yan, Zhenya1 ; Malomed, Boris A.3
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| 刊名 | CHAOS
 |
| 出版日期 | 2016-12-01 |
| 卷号 | 26期号:12页码:15 |
| ISSN号 | 1054-1500 |
| DOI | 10.1063/1.4972111 |
| 英文摘要 | An integrable system of two-component nonlinear Ablowitz-Ladik equations is used to construct complex rogue-wave (RW) solutions in an explicit form. First, the modulational instability of continuous waves is studied in the system. Then, new higher-order discrete two-component RW solutions of the system are found by means of a newly derived discrete version of a generalized Darboux transformation. Finally, the perturbed evolution of these RW states is explored in terms of systematic simulations, which demonstrates that tightly and loosely bound RWs are, respectively, nearly stable and strongly unstable solutions. Published by AIP Publishing. |
| 资助项目 | NSFC[11375030] ; NSFC[11571346] ; Youth Innovation Promotion Association CAS ; China Postdoctoral Science Foundation[2015M570161] |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000392001500010 |
| 出版者 | AMER INST PHYSICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24534]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China 2.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Dept Math, Beijing 100192, Peoples R China 3.Tel Aviv Univ, Sch Elect Engn, Dept Phys Elect, IL-59978 Tel Aviv, Israel |
| 推荐引用方式 GB/T 7714 | Wen, Xiao-Yong,Yan, Zhenya,Malomed, Boris A.. Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability[J]. CHAOS,2016,26(12):15. |
| APA | Wen, Xiao-Yong,Yan, Zhenya,&Malomed, Boris A..(2016).Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability.CHAOS,26(12),15. |
| MLA | Wen, Xiao-Yong,et al."Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability".CHAOS 26.12(2016):15. |
入库方式： OAI收割
来源：数学与系统科学研究院
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