Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrodinger equation
文献类型：期刊论文
| 作者 | Yang, Yunqing1,2; Yan, Zhenya3 ; Malomed, Boris A.4
|
| 刊名 | CHAOS
 |
| 出版日期 | 2015-10-01 |
| 卷号 | 25期号:10页码:9 |
| ISSN号 | 1054-1500 |
| DOI | 10.1063/1.4931594 |
| 英文摘要 | We analytically study rogue-wave (RW) solutions and rational solitons of an integrable fifth-order nonlinear Schrodinger (FONLS) equation with three free parameters. It includes, as particular cases, the usual NLS, Hirota, and Lakshmanan-Porsezian-Daniel equations. We present continuous-wave (CW) solutions and conditions for their modulation instability in the framework of this model. Applying the Darboux transformation to the CW input, novel first-and second-order RW solutions of the FONLS equation are analytically found. In particular, trajectories of motion of peaks and depressions of profiles of the first-and second-order RWs are produced by means of analytical and numerical methods. The solutions also include newly found rational and W-shaped oneand two-soliton modes. The results predict the corresponding dynamical phenomena in extended models of nonlinear fiber optics and other physically relevant integrable systems. (C) 2015 AIP Publishing LLC. |
| 资助项目 | National Natural Science Foundation of China[61178091] ; National Natural Science Foundation of China[11326165] ; National Natural Science Foundation of China[11202178] ; Zhejiang Provincial Natural Science Foundation of China[LQ12A01008] |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000364235100012 |
| 出版者 | AMER INST PHYSICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21122]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316022, Zhejiang, Peoples R China 2.Key Lab Oceanog Big Data Min & Applicat Zhejiang, Zhoushan 316022, Zhejiang, Peoples R China 3.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China 4.Tel Aviv Univ, Sch Elect Engn, Dept Phys Elect, IL-59978 Tel Aviv, Israel |
| 推荐引用方式 GB/T 7714 | Yang, Yunqing,Yan, Zhenya,Malomed, Boris A.. Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrodinger equation[J]. CHAOS,2015,25(10):9. |
| APA | Yang, Yunqing,Yan, Zhenya,&Malomed, Boris A..(2015).Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrodinger equation.CHAOS,25(10),9. |
| MLA | Yang, Yunqing,et al."Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrodinger equation".CHAOS 25.10(2015):9. |
入库方式： OAI收割
来源：数学与系统科学研究院
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