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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
AbstractIn 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.
Keywordn-component Hirota equation Non-zero backgrounds Modified Darboux transform Multiple roots Rational RWs and W-shaped solitons Non-integrable deformation
Indexed BySCI
Funding ProjectNational Natural Science Foundation of China[11925108] ; National Natural Science Foundation of China[11731014]
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Fluids & Plasmas ; Physics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000771002100005
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Document Type期刊论文
Corresponding AuthorYan, Zhenya
Affiliation1.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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