Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation

doi:10.1063/1.5048512

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	Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation
	Wen, Xiao-Yong 1,2; Yan, Zhenya1,3
	2018-07-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	59 期号:7 页码:14
摘要	The higher order discrete rogue waves (RWs) of the integrable discrete Ablowitz-Ladik equation are reported using a novel discrete version of generalized perturbation Darboux transformation. The dynamical behaviors of strong and weak interactions of these RWs are analytically and numerically discussed, which exhibit the abundant wave structures. We numerically show that a small noise has the weaker effect on strong-interaction RWs than weak-interaction RWs, whose main reason may be related to main energy distributions of RWs. The interaction of two first-order RWs is shown to be non-elastic. Moreover, we find that the maximal number (S-max) of the possibly split first-order ones of higher order RWs is related to the number (P-max) of peak points of their strongest-interaction cases, that is, S-max = (P-max + 1)/2. The results will excite to further understand the discrete RW phenomena in nonlinear optics and relevant fields. Published by AIP Publishing.
DOI	10.1063/1.5048512
语种	英语
资助项目	NSF[11731014] ; NSF[11571346] ; CAS Interdisciplinary Innovation Team ; Qin Xin Talents Cultivation Program of Beijing Information Science and Technology University[QXTCP-B201704]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000440588200058
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/30858
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.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Dept Math, Beijing 100192, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Wen, Xiao-Yong,Yan, Zhenya. Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation[J]. JOURNAL OF MATHEMATICAL PHYSICS,2018,59(7):14.
APA	Wen, Xiao-Yong,&Yan, Zhenya.(2018).Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation.JOURNAL OF MATHEMATICAL PHYSICS,59(7),14.
MLA	Wen, Xiao-Yong,et al."Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation".JOURNAL OF MATHEMATICAL PHYSICS 59.7(2018):14.