Overcoming the snaking instability and nucleation of dark solitons in nonlinear Kerr media by spatially inhomogeneous defocusing nonlinearity | |
Liu, Xiuye1,2; Zeng, Jianhua1,2 | |
刊名 | Chaos, Solitons and Fractals |
2022-03 | |
卷号 | 156 |
关键词 | Dark solitons Nonlinear schrödinger equation Snaking instability Modulational instability |
ISSN号 | 09600779 |
DOI | 10.1016/j.chaos.2022.111803 |
产权排序 | 1 |
英文摘要 | Dark solitons, localized nonlinear waves with center notch standing on a stable uniform background, own rich formation and dynamics for physics and applications in diverse fields, and have thus recently attracted many theoretical and experimental studies. Transverse modulational instability is an impeditive factor for dark solitons in multidimensional space, to stabilize them various methods have been proposed. We here take use of a purely nonlinear strategy by introducing quasi-one-dimensional Gaussian like trap, and its combination with the external linear harmonic trap, in the framework of the (2 + 1)-dimensional Gross-Pitaveski/nonlinear Schrödinger equation, to realize the stabilization mechanism of dark-soliton stripes. Variational approximation analytical method, linear-stability analysis and direct perturbed numerical simulations are adopted to carry out the study, and agreement is reached. We demonstrate that the dark-soliton stripes can be stabilized completely, and the associated modulational instability wave number band is reduced greatly. Particularly, in the case of linear harmonic trap, the nucleation of dark solitons, subjected to snaking instability, can be overcome by the nonlinear trap with both defocusing and focusing strengths. The predicted results may be realized in Bose-Einstein condensates and nonlinear optics. © 2022 Elsevier Ltd |
语种 | 英语 |
出版者 | Elsevier Ltd |
内容类型 | 期刊论文 |
源URL | [http://ir.opt.ac.cn/handle/181661/95697] |
专题 | 西安光学精密机械研究所_瞬态光学技术国家重点实验室 |
通讯作者 | Zeng, Jianhua |
作者单位 | 1.University of Chinese Academy of Sciences, Beijing; 100049, China 2.State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Precision Mechanics of Chinese Academy of Sciences, Xi'an; 710119, China; |
推荐引用方式 GB/T 7714 | Liu, Xiuye,Zeng, Jianhua. Overcoming the snaking instability and nucleation of dark solitons in nonlinear Kerr media by spatially inhomogeneous defocusing nonlinearity[J]. Chaos, Solitons and Fractals,2022,156. |
APA | Liu, Xiuye,&Zeng, Jianhua.(2022).Overcoming the snaking instability and nucleation of dark solitons in nonlinear Kerr media by spatially inhomogeneous defocusing nonlinearity.Chaos, Solitons and Fractals,156. |
MLA | Liu, Xiuye,et al."Overcoming the snaking instability and nucleation of dark solitons in nonlinear Kerr media by spatially inhomogeneous defocusing nonlinearity".Chaos, Solitons and Fractals 156(2022). |
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