PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations

doi:10.1016/j.physd.2022.133266

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	PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations
	Song, Jin; Zhou, Zijian; Weng, Weifang; Yan, Zhenya
	2022-07-01
发表期刊	PHYSICA D-NONLINEAR PHENOMENA
ISSN	0167-2789
卷号	435 页码:14
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.
关键词	Generalized nonlinear Schrodinger equation Stable peakon solution Interactions Adiabatic excitations PT-symmetric 8(x)-csch potential
DOI	10.1016/j.physd.2022.133266
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied ; Physics, Fluids & Plasmas ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000795854300004
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/61310
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.