Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics

doi:10.1016/j.cnsns.2018.02.008

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	Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics
	Zhang, Guoqiang 1,2; Yan, Zhenya1,2
	2018-09-01
发表期刊	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN	1007-5704
卷号	62 页码:117-133
摘要	The integrable three-component nonlinear Schrodinger equations are systemically explored in this paper. We firstly find the conditions for the modulational instability of plane-wave solutions of the system. Secondly, we present the general formulae for the Nth-order vector rational and semi-rational rogue wave solutions by the generalized Darboux transformation and formal series method. Particularly, we find that the second-order vector rational RWs contain five, seven, and nine fundamental vector RWs, which can arrange with many novel excitation dynamical patterns such as pentagon, triangle, 'clawlike', line, hexagon, arrow, and trapezoid structures. Moreover, we also find two different kinds of Nth-order vector semi-rational RWs: one of which can demonstrate the coexistence of Nth-order vector rational RW and N parallel vector breathers and the other can demonstrate the coexistence of Nth-order vector rational RWs and N th-order Y-shaped vector breathers. We also exhibit distribution patterns of superposition of RWs, which can be constituted of different fundamental RW patterns. Finally, we numerically explore the dynamical behaviors of some chosen RWs. The results could excite the interest in such diverse fields as Bose-Einstein condensates, nonlinear fibers, and superfluids. (c) 2018 Elsevier B.V. All rights reserved.
关键词	equations Modulational instability Darboux transformation Nth-order vector rational and semi-rational rogue waves Superposition of rogue waves Dynamics
DOI	10.1016/j.cnsns.2018.02.008
语种	英语
资助项目	NSFC[11731014] ; NSFC[11571346] ; CAS Interdisciplinary Innovation Team
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000429332800007
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30161
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
推荐引用方式 GB/T 7714	Zhang, Guoqiang,Yan, Zhenya. Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2018,62:117-133.
APA	Zhang, Guoqiang,&Yan, Zhenya.(2018).Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,62,117-133.
MLA	Zhang, Guoqiang,et al."Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 62(2018):117-133.