KMS Of Academy of mathematics and systems sciences, CAS
| Numerical analysis of the Hirota equation: Modulational instability, breathers, rogue waves, and interactions | |
| Wang, Li1,2; Yan, Zhenya1,2; Guo, Boling3 | |
| 2020 | |
| Source Publication | CHAOS
 |
| ISSN | 1054-1500 |
| Volume | 30Issue:1Pages:10 |
| Abstract | 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. |
| DOI | 10.1063/1.5129313 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Science Foundation of China (NSFC)[11731014] ; National Science Foundation of China (NSFC)[11925108] ; CAS Interdisciplinary Innovation Team |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Physics, Mathematical |
| WOS ID | WOS:000539636200004 |
| Publisher | AMER INST PHYSICS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51630 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 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 3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China |
| Recommended Citation 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. |
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