Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrodinger equations with varying source terms

doi:10.1063/1.4921641

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	Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrodinger equations with varying source terms
	Yang, Yunqing 1,2; Yan, Zhenya2 ; Mihalache, Dumitru 3
	2015-05-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	56 期号:5 页码:19
摘要	In this paper, we study the families of solitary-wave solutions to the inhomogeneous coupled nonlinear Schrodinger equations with space-and time-modulated coefficients and source terms. By means of the similarity reduction method and Mobius transformations, many types of novel temporal solitary-wave solutions of this nonlinear dynamical system are analytically found under some constraint conditions, such as the bright-bright, bright-dark, dark-dark, periodic-periodic, W-shaped, and rational wave solutions. In particular, we find that the localized rational-type solutions can exhibit both bright-bright and bright-dark wave profiles by choosing different families of free parameters. Moreover, we analyze the relationships among the group-velocity dispersion profiles, gain or loss distributions, external potentials, and inhomogeneous source profiles, which provide the necessary constraint conditions to control the emerging wave dynamics. Finally, a series of numerical simulations are performed to show the robustness to propagation of some of the analytically obtained solitary-wave solutions. The vast class of exact solutions of inhomogeneous coupled nonlinear Schrodinger equations with source terms might be used in the study of the soliton structures in twin-core optical fibers and two-component Bose-Einstein condensates. (C) 2015 AIP Publishing LLC.
DOI	10.1063/1.4921641
语种	英语
资助项目	NSFC[61178091] ; NSFC[11326165] ; NSFC[11202187] ; Zhejiang Provincial NSFC[LQ12A01008]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000355920800037
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/19958
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China 3.Horia Hulubei Natl Inst Phys & Nucl Engn, RO-077125 Magurele, Romania
推荐引用方式 GB/T 7714	Yang, Yunqing,Yan, Zhenya,Mihalache, Dumitru. Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrodinger equations with varying source terms[J]. JOURNAL OF MATHEMATICAL PHYSICS,2015,56(5):19.
APA	Yang, Yunqing,Yan, Zhenya,&Mihalache, Dumitru.(2015).Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrodinger equations with varying source terms.JOURNAL OF MATHEMATICAL PHYSICS,56(5),19.
MLA	Yang, Yunqing,et al."Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrodinger equations with varying source terms".JOURNAL OF MATHEMATICAL PHYSICS 56.5(2015):19.