Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation

doi:10.1103/PhysRevE.92.012917

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	Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation
	Wen, Xiao-Yong 1,2; Yang, Yunqing 1,3; Yan, Zhenya1
刊名	PHYSICAL REVIEW E
	2015-07-22
卷号	92 期号:1 页码:19
ISSN号	1539-3755
DOI	10.1103/PhysRevE.92.012917
英文摘要	In this paper, a simple and constructive method is presented to find the generalized perturbation (n, M)-fold Darboux transformations (DTs) of the modified nonlinear Schrodinger (MNLS) equation in terms of fractional forms of determinants. In particular, we apply the generalized perturbation (1, N - 1)-fold DTs to find its explicit multi-rogue-wave solutions. The wave structures of these rogue-wave solutions of the MNLS equation are discussed in detail for different parameters, which display abundant interesting wave structures, including the triangle and pentagon, etc., and may be useful to study the physical mechanism of multirogue waves in optics. The dynamical behaviors of these multi-rogue-wave solutions are illustrated using numerical simulations. The same Darboux matrix can also be used to investigate the Gerjikov-Ivanov equation such that its multi-rogue-wave solutions and their wave structures are also found. The method can also be extended to find multi-rogue-wave solutions of other nonlinear integrable equations.
资助项目	NSFC[11375030] ; NSFC[61178091] ; Beijing Natural Science Foundation[1153004] ; China Postdoctoral Science Foundation[2015M570161]
WOS研究方向	Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000358377800015
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/20371]
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, AMSS, Inst 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.Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Peoples R China
推荐引用方式 GB/T 7714	Wen, Xiao-Yong,Yang, Yunqing,Yan, Zhenya. Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation[J]. PHYSICAL REVIEW E,2015,92(1):19.
APA	Wen, Xiao-Yong,Yang, Yunqing,&Yan, Zhenya.(2015).Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation.PHYSICAL REVIEW E,92(1),19.
MLA	Wen, Xiao-Yong,et al."Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation".PHYSICAL REVIEW E 92.1(2015):19.