KMS Of Academy of mathematics and systems sciences, CAS
| Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations | |
| Song, Jin1,2; Zhou, Zijian1,2; Dong, Huanhe3; Yan, Zhenya1,2 | |
| 2022-11-01 | |
| Source Publication | WAVE MOTION
 |
| ISSN | 0165-2125 |
| Volume | 115Pages:15 |
| Abstract | In this paper, a class of physically interesting PT-symmetric 8(x)-absolute-harmonic -Gaussian (PT-8-AHG) potentials is explored in both linear and nonlinear wave regimes. In the linear regime, we find that the PT-8-AHG potential can make the non-Hermitian Hamiltonian possess fully-real spectra for some parameter regions. In the nonlinear regime, we find the stable solitons, and single-and double-hump peakons for both focusing and defocusing generalized nonlinear Schrodinger (NLS) equations with PT-8- AHG potentials. Moreover, the quantum information entropies of these nonlinear modes are investigated to explore the dynamic behaviors of PT nonlinear systems. Also, the dynamic interactions of exact solitons with incident solitary waves are discussed. Finally, we find that these bright solitons, single-and double-hump peakons can still stably propagate by means of adiabatic excitations, i.e., by slowly changing the parameters of the PT-8-AHG potential, which implies that one can stably modulate the PT optical solitons. These interesting results will be helpful to further explore the relative PT nonlinear wave phenomena, and to design some physical experiments.(c) 2022 Elsevier B.V. All rights reserved. |
| Keyword | Generalized nonlinear Schr?dinger equation PT-symmetric potentials Stable solitons and peakons Quantum information entropy Soliton interactions and adiabatic excitations |
| DOI | 10.1016/j.wavemoti.2022.103076 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China ; [11975143] |
| WOS Research Area | Acoustics ; Mechanics ; Physics |
| WOS Subject | Acoustics ; Mechanics ; Physics, Multidisciplinary |
| WOS ID | WOS:000886066800002 |
| Publisher | ELSEVIER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60608 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266510, Peoples R China |
| Recommended Citation GB/T 7714 | Song, Jin,Zhou, Zijian,Dong, Huanhe,et al. Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations[J]. WAVE MOTION,2022,115:15. |
| APA | Song, Jin,Zhou, Zijian,Dong, Huanhe,&Yan, Zhenya.(2022).Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations.WAVE MOTION,115,15. |
| MLA | Song, Jin,et al."Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations".WAVE MOTION 115(2022):15. |
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