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
	2015-07-22
发表期刊	PHYSICAL REVIEW E
ISSN	1539-3755
卷号	92 期号:1 页码:19
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.
DOI	10.1103/PhysRevE.92.012917
语种	英语
资助项目	NSFC[11375030] ; NSFC[61178091] ; Beijing Natural Science Foundation[1153004] ; China Postdoctoral Science Foundation[2015M570161]
WOS研究方向	Physics
WOS类目	Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000358377800015
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20372
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.