Three-wave resonant interactions: Multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics

doi:10.1016/j.physd.2017.11.001

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	Three-wave resonant interactions: Multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics
	Zhang, Guoqiang 1,2; Yan, Zhenya1,2 ; Wen, Xiao-Yong 1,3
刊名	PHYSICA D-NONLINEAR PHENOMENA
	2018-03-01
卷号	366 页码:27-42
关键词	Three-wave resonant interactions Darboux transformation Multi-dark-dark-dark soliton Breathers Rogue waves Stability
ISSN号	0167-2789
DOI	10.1016/j.physd.2017.11.001
英文摘要	We investigate three-wave resonant interactions through both the generalized Darboux transformation method and numerical simulations. Firstly, we derive a simple multi-dark-dark-dark-soliton formula through the generalized Darboux transformation. Secondly, we use the matrix analysis method to avoid the singularity of transformed potential functions and to find the general nonsingular breather solutions. Moreover, through a limit process, we deduce the general rogue wave solutions and give a classification by their dynamics including bright, dark, four-petals, and two-peaks rogue waves. Ever since the coexistence of dark soliton and rogue wave in non-zero background, their interactions naturally become a quite appealing topic. Based on the N-fold Darboux transformation, we can derive the explicit solutions to depict their interactions. Finally, by performing extensive numerical simulations we can predict whether these dark solitons and rogue waves are stable enough to propagate. These results can be available for several physical subjects such as fluid dynamics, nonlinear optics, solid state physics, and plasma physics. (C) 2017 Elsevier B.V. All rights reserved.
资助项目	NSFC[11731014] ; NSFC[11571346] ; Youth Innovation Promotion Association CAS
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000424174400003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/29613]
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 3.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Dept Math, Beijing 100192, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Guoqiang,Yan, Zhenya,Wen, Xiao-Yong. Three-wave resonant interactions: Multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics[J]. PHYSICA D-NONLINEAR PHENOMENA,2018,366:27-42.
APA	Zhang, Guoqiang,Yan, Zhenya,&Wen, Xiao-Yong.(2018).Three-wave resonant interactions: Multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics.PHYSICA D-NONLINEAR PHENOMENA,366,27-42.
MLA	Zhang, Guoqiang,et al."Three-wave resonant interactions: Multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics".PHYSICA D-NONLINEAR PHENOMENA 366(2018):27-42.