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

doi:10.1016/j.aml.2020.106670

	Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials
	Wang, Li ; Yan, Zhenya 2
刊名	APPLIED MATHEMATICS LETTERS
	2021
卷号	111 页码:9
关键词	Defocusing nonlinear Schrodinger equation Modulational instability PT-symmetric potential Rogue waves W-shaped solitons
ISSN号	0893-9659
DOI	10.1016/j.aml.2020.106670
英文摘要	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.
资助项目	NSFC, China[11731014] ; NSFC, China[11925108] ; CAS, China Interdisciplinary Innovation
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000571465000034
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/52256]
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, 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.