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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
发表期刊WAVE MOTION
ISSN0165-2125
卷号115页码:15
摘要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.
关键词Generalized nonlinear Schr?dinger equation PT-symmetric potentials Stable solitons and peakons Quantum information entropy Soliton interactions and adiabatic excitations
DOI10.1016/j.wavemoti.2022.103076
收录类别SCI
语种英语
资助项目National Natural Science Foundation of China ; [11975143]
WOS研究方向Acoustics ; Mechanics ; Physics
WOS类目Acoustics ; Mechanics ; Physics, Multidisciplinary
WOS记录号WOS:000886066800002
出版者ELSEVIER
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/60608
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
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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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