Rational vector rogue waves for the n-component Hirota equation with non-zero backgrounds

doi:10.1016/j.physd.2021.133005

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	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
发表期刊	PHYSICA D-NONLINEAR PHENOMENA
ISSN	0167-2789
卷号	427 页码:13
摘要	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.
关键词	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
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11925108] ; National Natural Science Foundation of China[11731014]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Fluids & Plasmas ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000771002100005
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60179
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	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
推荐引用方式 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.