PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations
文献类型：期刊论文
| 作者 | Song, Jin; Zhou, Zijian; Weng, Weifang; Yan, Zhenya |
| 刊名 | PHYSICA D-NONLINEAR PHENOMENA
 |
| 出版日期 | 2022-07-01 |
| 卷号 | 435页码:14 |
| 关键词 | Generalized nonlinear Schrodinger equation Stable peakon solution Interactions Adiabatic excitations PT-symmetric 8(x)-csch potential |
| ISSN号 | 0167-2789 |
| DOI | 10.1016/j.physd.2022.133266 |
| 英文摘要 | We report a class of physically interesting PT-symmetric 8(x)-csch potentials containing three types of potentials: 8(x)-csch, 8(x), and csch-coth potentials. Firstly, we study the parameter regions for the PT phase transitions of the non-Hermitian Hamiltonians. Then we show that the both self-focusing and defocusing generalized nonlinear Schrodinger (NLS) equations with the PT 8(x)-csch potentials can support the physically intriguing csch-type peakon solitons. Moreover, we observe that they can stably propagate within certain parameter regions. And, we also study numerical peakon solutions and their stability for different propagation constants. In particular, the stable peakon solutions of the cubic and quintic NLS equations can be numerically found for the PT finite deep csch-coth potential, without involvement of the 8(x). Moreover, we find that the hyperbolic part of the potential can make the unstable states excite the stable ones in the cubic and quintic NLS equations. Finally, we investigate the interactions of nonlinear modes with exotic waves and stable adiabatic excitations of peakons. These results will have the implication for understanding the relevant physical phenomena. (c) 2022 Elsevier B.V. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11925108] ; National Natural Science Foundation of China[11731014] |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000795854300004 |
| 出版者 | ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61309]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | Univ Chinese Acad Sci, Acad Math & Syst Sci, Chinese Acad Sci, China Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Song, Jin,Zhou, Zijian,Weng, Weifang,et al. PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations[J]. PHYSICA D-NONLINEAR PHENOMENA,2022,435:14. |
| APA | Song, Jin,Zhou, Zijian,Weng, Weifang,&Yan, Zhenya.(2022).PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations.PHYSICA D-NONLINEAR PHENOMENA,435,14. |
| MLA | Song, Jin,et al."PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations".PHYSICA D-NONLINEAR PHENOMENA 435(2022):14. |
入库方式： OAI收割
来源：数学与系统科学研究院
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