Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials

doi:10.1007/s11071-022-07362-1

	Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials
	Li, Xin 1; Wang, Li 2,6,7; Zhou, Zijian 3,4; Chen, Yong 5; Yan, Zhenya 3,4
刊名	NONLINEAR DYNAMICS
	2022-03-24
页码	12
关键词	Nonlinear Schrodinger equation PT-symmetric harmonic-hyperbolic-Gaussian potential Soliton stability Soliton excitations and collisions
ISSN号	0924-090X
DOI	10.1007/s11071-022-07362-1
英文摘要	In this paper, the self-focusing nonlinear Schrodinger (NLS) equation with PT-symmetric harmonic-hyperbolic-Gaussian function potentials is investigated, and some intriguing results are presented. From the threshold curves of the PT-symmetry breaking resulting from the spontaneous breaking of the phases, we find that the real and imaginary parts of the spectra of the corresponding PT-invariant Hamiltonian differ from the known findings. Both analytical and numerical (via Newton iteration method) single and double-hump solitons are found for the focusing NLS equation with PT-symmetric HHG function potentials. Furthermore, we use Fourier pseudo-spectral method to explore the stable dynamics of solitons and the interplays between nonlinear modes and exotic solitons in the PT-symmetric potentials to further verify the stability of optical solitons with two different profiles. Finally, the adiabatic excitations of the nonlinear modes are performed such that the soliton stable excitations are found. These interesting results will lay the foundation for the further investigations of PT-symmetric linear and nonlinear physical models in nonlinear optics, Bose-Einstein condensates, and other relevant physical fields.
资助项目	National Natural Science Foundation of China[11925108] ; Natural Science Foundation of Jiangsu Province[BK20181030] ; Natural Science Foundation of Jiangsu Province of China[BK20190991]
WOS研究方向	Engineering ; Mechanics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000772731800002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60254]
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.Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China 2.Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 5.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China 6.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China 7.Yanqi Lake Beijing Inst Math Sci & Applicat, Beijing 101408, Peoples R China
推荐引用方式 GB/T 7714	Li, Xin,Wang, Li,Zhou, Zijian,et al. Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials[J]. NONLINEAR DYNAMICS,2022:12.
APA	Li, Xin,Wang, Li,Zhou, Zijian,Chen, Yong,&Yan, Zhenya.(2022).Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials.NONLINEAR DYNAMICS,12.
MLA	Li, Xin,et al."Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials".NONLINEAR DYNAMICS (2022):12.