The nonlinear Schrodinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations

doi:10.1063/1.4995363

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 系统科学研究所

	The nonlinear Schrodinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations
	Yan, Zhenya1 ; Chen, Yong
刊名	CHAOS
	2017-07-01
卷号	27 期号:7 页码:14
ISSN号	1054-1500
DOI	10.1063/1.4995363
英文摘要	We investigate the nonlinear Schrodinger (NLS) equation with generalized nonlinearities and complex non-Hermitian potentials and present the novel parity-time-(PT-) symmetric potentials for the NLS equation with power-law nonlinearities supporting some bright solitons. For distinct types of PT-symmetric potentials including Scarf-II, Hermite-Gaussian, and asymptotically periodic potentials, we, respectively, explore the phase transitions for the linear Hamiltonian operators. Moreover, we analytically find stable bright solitons in the generalized NLS equations with several types of PT-symmetric potentials, and their stability is corroborated by the linear stability spectrum and direct wave-propagation simulations. Interactions of two solitons are also explored. More interestingly, we find that the nonlinearity can excite the unstable linear modes (i.e., possessing broken linear PT-symmetric phase) to stable nonlinear modes. The results may excite potential applications in nonlinear optics, Bose-Einstein condensates, and relevant fields. Published by AIP Publishing.
资助项目	NSFC[11571346] ; Youth Innovation Promotion Association CAS
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	AMER INST PHYSICS
WOS记录号	WOS:000406762000016
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26333]
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Yan, Zhenya,Chen, Yong. The nonlinear Schrodinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations[J]. CHAOS,2017,27(7):14.
APA	Yan, Zhenya,&Chen, Yong.(2017).The nonlinear Schrodinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations.CHAOS,27(7),14.
MLA	Yan, Zhenya,et al."The nonlinear Schrodinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations".CHAOS 27.7(2017):14.