Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials

doi:10.1016/j.aml.2020.106670

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	Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials
	Wang, Li ; Yan, Zhenya 1
	2021
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	111 页码:9
摘要	The defocusing nonlinear Schrodinger (NLS) equation has no the modulational instability, and was not found to possess the rogue wave (RW) phenomenon up to now. In this paper, we firstly investigate some novel nonlinear wave structures in the defocusing NLS equation with real-valued time-dependent and time-independent potentials such that the stable new RWs and W-shaped solitons are found, respectively. Moreover, the interactions of two or three RWs are explored such that the RWs with higher amplitudes are generated in the defocusing NLS equation with real-valued time-dependent potentials. Finally, we study the defocusing NLS equation with complex PT-symmetric potentials such that some RWs and W-shaped solitons are also found. These novel results will be useful to design the related physical experiments to generate the RW phenomena and W-shaped solitons in the case of defocusing nonlinear interactions, and to apply them in the related fields of nonlinear or even linear sciences. (C) 2020 Elsevier Ltd. All rights reserved.
关键词	Defocusing nonlinear Schrodinger equation Modulational instability PT-symmetric potential Rogue waves W-shaped solitons
DOI	10.1016/j.aml.2020.106670
收录类别	SCI
语种	英语
资助项目	NSFC, China[11731014] ; NSFC, China[11925108] ; CAS, China Interdisciplinary Innovation
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000571465000034
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52257
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	Wang, Li,Yan, Zhenya. Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials[J]. APPLIED MATHEMATICS LETTERS,2021,111:9.
APA	Wang, Li,&Yan, Zhenya.(2021).Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials.APPLIED MATHEMATICS LETTERS,111,9.
MLA	Wang, Li,et al."Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials".APPLIED MATHEMATICS LETTERS 111(2021):9.