Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability

doi:10.1063/1.4972111

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	Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability
	Wen, Xiao-Yong 1,2; Yan, Zhenya1 ; Malomed, Boris A.3
	2016-12-01
发表期刊	CHAOS
ISSN	1054-1500
卷号	26 期号:12 页码:15
摘要	An integrable system of two-component nonlinear Ablowitz-Ladik equations is used to construct complex rogue-wave (RW) solutions in an explicit form. First, the modulational instability of continuous waves is studied in the system. Then, new higher-order discrete two-component RW solutions of the system are found by means of a newly derived discrete version of a generalized Darboux transformation. Finally, the perturbed evolution of these RW states is explored in terms of systematic simulations, which demonstrates that tightly and loosely bound RWs are, respectively, nearly stable and strongly unstable solutions. Published by AIP Publishing.
DOI	10.1063/1.4972111
语种	英语
资助项目	NSFC[11375030] ; NSFC[11571346] ; Youth Innovation Promotion Association CAS ; China Postdoctoral Science Foundation[2015M570161]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000392001500010
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24535
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China 2.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Dept Math, Beijing 100192, Peoples R China 3.Tel Aviv Univ, Sch Elect Engn, Dept Phys Elect, IL-59978 Tel Aviv, Israel
推荐引用方式 GB/T 7714	Wen, Xiao-Yong,Yan, Zhenya,Malomed, Boris A.. Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability[J]. CHAOS,2016,26(12):15.
APA	Wen, Xiao-Yong,Yan, Zhenya,&Malomed, Boris A..(2016).Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability.CHAOS,26(12),15.
MLA	Wen, Xiao-Yong,et al."Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability".CHAOS 26.12(2016):15.