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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-Yong1,2; Yang, Yunqing1,3; Yan, Zhenya1
2015-07-22
Source PublicationPHYSICAL REVIEW E
ISSN1539-3755
Volume92Issue:1Pages:19
AbstractIn 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.
DOI10.1103/PhysRevE.92.012917
Language英语
Funding ProjectNSFC[11375030] ; NSFC[61178091] ; Beijing Natural Science Foundation[1153004] ; China Postdoctoral Science Foundation[2015M570161]
WOS Research AreaPhysics
WOS SubjectPhysics, Fluids & Plasmas ; Physics, Mathematical
WOS IDWOS:000358377800015
PublisherAMER PHYSICAL SOC
Citation statistics
Cited Times:45[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20372
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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