Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions

doi:10.1016/j.physd.2021.133150

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	Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions
	Weng, Weifang ; Zhang, Guoqiang ; Zhang, Minghe ; Zhou, Zijian ; Yan, Zhenya 1
	2022-04-01
发表期刊	PHYSICA D-NONLINEAR PHENOMENA
ISSN	0167-2789
卷号	432 页码:15
摘要	In this paper, we investigate the wave structures of any n-component nonlinear Schrodinger (alias n-NLS) equation with mixed nonzero and zero boundary conditions, which can be used to describe the interactions of many bodies in differential fields. As a consequence, we find its semi-rational vector rogon-soliton solutions (non-zero backgrounds) and soliton-like solutions (zero backgrounds) with the aid of the modified Darboux transform and the multiple root of an (n + 1)th degree characteristic polynomial equation. Moreover, the semi-rational vector rogon-soliton solutions can be shown to be PT-symmetric for chosen parameters, and decomposed into rational rogons and grey-like solitons for the bigger parameters. Finally, the maximum amplitudes and average amplitudes are analysed for the semi-rational vector rogon-soliton solutions for some choice of parameters. These results will be useful to better understand the relative physical phenomena in the n-NLS equation or other related multi-component nonlinear physical models. (C) 2021 Elsevier B.V. All rights reserved.
关键词	N-component NLS equation Mixed non-zero and zero backgrounds Semi-rational rogon-soliton solutions Soliton-like solutions Asymptotic analysis
DOI	10.1016/j.physd.2021.133150
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:000766763800005
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/60098
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.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,Zhang, Minghe,et al. Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions[J]. PHYSICA D-NONLINEAR PHENOMENA,2022,432:15.
APA	Weng, Weifang,Zhang, Guoqiang,Zhang, Minghe,Zhou, Zijian,&Yan, Zhenya.(2022).Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions.PHYSICA D-NONLINEAR PHENOMENA,432,15.
MLA	Weng, Weifang,et al."Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions".PHYSICA D-NONLINEAR PHENOMENA 432(2022):15.