KMS Of Academy of mathematics and systems sciences, CAS
Rational vector rogue waves for the n-component Hirota equation with non-zero backgrounds | |
Weng, Weifang; Zhang, Guoqiang; Wang, Li; Zhang, Minghe; Yan, Zhenya1 | |
2021-12-01 | |
Source Publication | PHYSICA D-NONLINEAR PHENOMENA |
ISSN | 0167-2789 |
Volume | 427Pages:13 |
Abstract | In this paper, the dimensionless n-component Hirota (alias the n-Hirota) equation is investigated, which describes the wave propagations of n ultrashort optical fields in a fiber. Starting from the modified Darboux transform and its Lax pair with initial non-zero plane-wave conditions, we find the novel multi-parametric families of rational vector rogue wave (RW) solutions for the n-Hirota equation. Furthermore, some weak and strong interactions of rational vector RWs are exhibited for the n-Hirota equation with n = 2, 3, 4, 5, 6 in detail. In particular, we also deduce the rational vector W-shaped dark and bright solitons of the n-component complex mKdV equation, whose representative wave structures are illustrated for n = 2, 3, 4, 5. Finally, the effect of a small non-integrable deformation of the 3-Hirota equation is explored numerically on the excitation of vector RWs in terms of the Fourier spectral method. These obtained rational vector RW and W-shaped soliton solutions will be useful to further explore the related nonlinear wave phenomena in the sense of multi-component physical systems with non-zero backgrounds. (C) 2021 Elsevier B.V. All rights reserved. |
Keyword | n-component Hirota equation Non-zero backgrounds Modified Darboux transform Multiple roots Rational RWs and W-shaped solitons Non-integrable deformation |
DOI | 10.1016/j.physd.2021.133005 |
Indexed By | SCI |
Language | 英语 |
Funding Project | National Natural Science Foundation of China[11925108] ; National Natural Science Foundation of China[11731014] |
WOS Research Area | Mathematics ; Physics |
WOS Subject | Mathematics, Applied ; Physics, Fluids & Plasmas ; Physics, Multidisciplinary ; Physics, Mathematical |
WOS ID | WOS:000771002100005 |
Publisher | ELSEVIER |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60179 |
Collection | 系统科学研究所 |
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 |
Recommended Citation GB/T 7714 | Weng, Weifang,Zhang, Guoqiang,Wang, Li,et al. Rational vector rogue waves for the n-component Hirota equation with non-zero backgrounds[J]. PHYSICA D-NONLINEAR PHENOMENA,2021,427:13. |
APA | Weng, Weifang,Zhang, Guoqiang,Wang, Li,Zhang, Minghe,&Yan, Zhenya.(2021).Rational vector rogue waves for the n-component Hirota equation with non-zero backgrounds.PHYSICA D-NONLINEAR PHENOMENA,427,13. |
MLA | Weng, Weifang,et al."Rational vector rogue waves for the n-component Hirota equation with non-zero backgrounds".PHYSICA D-NONLINEAR PHENOMENA 427(2021):13. |
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