Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrodinger equations with varying source terms
文献类型：期刊论文
| 作者 | Yang, Yunqing1,2; Yan, Zhenya2 ; Mihalache, Dumitru3
|
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2015-05-01 |
| 卷号 | 56期号:5页码:19 |
| ISSN号 | 0022-2488 |
| DOI | 10.1063/1.4921641 |
| 英文摘要 | 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. |
| 资助项目 | NSFC[61178091] ; NSFC[11326165] ; NSFC[11202187] ; Zhejiang Provincial NSFC[LQ12A01008] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000355920800037 |
| 出版者 | AMER INST PHYSICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19957]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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