Soliton formation and stability under the interplay between parity-time-symmetric generalized Scarf-II potentials and Kerr nonlinearity

doi:10.1103/PhysRevE.102.012216

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	Soliton formation and stability under the interplay between parity-time-symmetric generalized Scarf-II potentials and Kerr nonlinearity
	Chen, Yong 1; Yan, Zhenya 2,3; Mihalache, Dumitru 4
	2020-07-21
发表期刊	PHYSICAL REVIEW E
ISSN	1539-3755
卷号	102 期号:1 页码:11
摘要	We present an alternative type of parity-time (PT)-symmetric generalized Scarf-II potentials, which makes possible for non-Hermitian Hamiltonians in the classical linear Schrodinger system to possess fully real spectra with unique features such as the multiple PT-symmetric breaking behaviors and to support one-dimensional (1D) stable PT-symmetric solitons of power-law waveform, namely power-law solitons, in focusing Kerr-type nonlinear media. Moreover, PT-symmetric high-order solitons are also derived numerically in 1D and 2D settings. Around the exactly obtained nonlinear propagation constants, families of 1D and 2D localized nonlinear modes are also found numerically. The majority of fundamental nonlinear modes can still keep steady in general, whereas the 1D multipeak solitons and 2D vortex solitons are usually susceptible to suffering from instability. Likewise, similar results occur in the defocusing Kerr-nonlinear media. The obtained results will be useful for understanding the complex dynamics of nonlinear waves that form in PT-symmetric nonlinear media in other physical contexts.
DOI	10.1103/PhysRevE.102.012216
收录类别	SCI
语种	英语
资助项目	NSFC[11925108] ; NSFC[11731014] ; NSFC[11947087] ; NSF of Jiangsu Province of China[BK20190991] ; NSF of Jiangsu Higher Education Institutions of China[19KJB110011] ; CAS Interdisciplinary Innovation Team
WOS研究方向	Physics
WOS类目	Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000551044000004
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51850
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.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Horia Hulubei Natl Inst Phys & Nucl Engn, Dept Theoret Phys, RO-077125 Bucharest, Romania
推荐引用方式 GB/T 7714	Chen, Yong,Yan, Zhenya,Mihalache, Dumitru. Soliton formation and stability under the interplay between parity-time-symmetric generalized Scarf-II potentials and Kerr nonlinearity[J]. PHYSICAL REVIEW E,2020,102(1):11.
APA	Chen, Yong,Yan, Zhenya,&Mihalache, Dumitru.(2020).Soliton formation and stability under the interplay between parity-time-symmetric generalized Scarf-II potentials and Kerr nonlinearity.PHYSICAL REVIEW E,102(1),11.
MLA	Chen, Yong,et al."Soliton formation and stability under the interplay between parity-time-symmetric generalized Scarf-II potentials and Kerr nonlinearity".PHYSICAL REVIEW E 102.1(2020):11.