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| DOI | 10.1016/j.dynatmoce.2020.101189 |
| Self-localized solitons of the nonlinear wave blocking problem | |
| Bayındır C. | |
| 发表日期 | 2021 |
| ISSN | 03770265 |
| 卷号 | 93 |
| 英文摘要 | In this paper, we propose a numerical framework to study the shapes, dynamics, and stabilities of the self-localized solutions of the nonlinear wave blocking problem. To our best knowledge, blocking of the solitons in the marine environment has not been studied before in the existing literature. With this motivation, we use the nonlinear Schrödinger equation (NLSE) derived by Smith as a model for the nonlinear wave blocking. We propose a spectral renormalization method (SRM) to find the self-localized solitons of this model. We show that for constant, linearly varying or sinusoidal current gradient, i.e. dU∕dx, the self-localized solitons of the Smith's NLSE do exist. Additionally, we propose a spectral scheme with a 4th order Runge–Kutta time integrator to study the temporal dynamics and stabilities of such solitons. We observe that self-localized solitons are stable for the cases of constant or linearly varying current gradient however, they are unstable for sinusoidal current gradient, at least for the selected parameters. We comment on our findings and discuss the importance and applicability of the proposed approach. © 2020 Elsevier B.V. |
| 英文关键词 | Nonlinear wave blocking; Smith's nonlinear Schrödinger equation; Soliton stability; Spectral renormalization method |
| 语种 | 英语 |
| scopus关键词 | Nonlinear equations; Solitons; Dinger equation; Localized solutions; Marine environment; Nonlinear waves; Sinusoidal currents; Spectral renormalization; Temporal dynamics; Time integrators; Water waves; computational fluid dynamics; computer simulation; nonlinear wave; numerical model; wave modeling |
| 来源期刊 | Dynamics of Atmospheres and Oceans
 |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/178276 |
| 作者单位 | İstanbul Technical University, Engineering Faculty, Maslak, İstanbul, 34469, Turkey; Boğaziçi University, Engineering Faculty, Bebek, İstanbul, 34342, Turkey; CERN, Geneva 23CH-1211, Switzerland |
| 推荐引用方式 GB/T 7714 | Bayındır C.. Self-localized solitons of the nonlinear wave blocking problem[J],2021,93. |
| APA | Bayındır C..(2021).Self-localized solitons of the nonlinear wave blocking problem.Dynamics of Atmospheres and Oceans,93. |
| MLA | Bayındır C.."Self-localized solitons of the nonlinear wave blocking problem".Dynamics of Atmospheres and Oceans 93(2021). |
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