Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions
文献类型：期刊论文
| 作者 | Wang, Li2,3; Yan, Zhenya2,3; Guo, Boling1 |
| 刊名 | CHAOS
 |
| 出版日期 | 2020 |
| 卷号 | 30期号:1页码:10 |
| ISSN号 | 1054-1500 |
| DOI | 10.1063/1.5129313 |
| 英文摘要 | In this paper, we focus on the integrable Hirota equation, which describes the propagation of ultrashort light pulses in optical fibers. First, we numerically study spectral signatures of the spatial Lax pair with distinct potentials [e.g., solitons, Akhmediev-Kuznetsov-Ma (AKM) and Kuznetsov-Ma (KM) breathers, and rogue waves (RWs)] of the Hirota equation. Second, we discuss the RW generation by using the dam-break problem with a decaying initial condition and further analyze spectral signatures of periodized wavetrains. Third, we explore two kinds of noise-derived modulational instabilities: (i) the one case is based on the initial condition (one plus a random noise) such that the KM and AKM breathers, and RWs can be generated, and they agree well with analytical solutions; (ii) another case is to consider another initial condition (one plus a Gaussian wave with a random noise phase) such that some RWs with higher amplitudes can be found. Moreover, we also investigate the spectral signatures of corresponding periodic wavetrains. Finally, we find that the interactions of two waves can also generate theRWphenomena with higher amplitudes. These obtained results will be useful to understand theRWgeneration in the third-order nonlinear Schrodinger equation and other related models. Published under license by AIP Publishing. |
| 资助项目 | National Science Foundation of China (NSFC)[11731014] ; National Science Foundation of China (NSFC)[11925108] ; CAS Interdisciplinary Innovation Team |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000539636200004 |
| 出版者 | AMER INST PHYSICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51629]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Li,Yan, Zhenya,Guo, Boling. Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions[J]. CHAOS,2020,30(1):10. |
| APA | Wang, Li,Yan, Zhenya,&Guo, Boling.(2020).Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions.CHAOS,30(1),10. |
| MLA | Wang, Li,et al."Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions".CHAOS 30.1(2020):10. |
入库方式： OAI收割
来源：数学与系统科学研究院
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