On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT - and non-PT-symmetric potentials

doi:10.1063/1.4960612

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	On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT - and non-PT-symmetric potentials
	Yan, Zhenya1,2 ; Chen, Yong 1,2; Wen, Zichao 1,2
	2016-08-01
发表期刊	CHAOS
ISSN	1054-1500
卷号	26 期号:8 页码:20
摘要	We report the bright solitons of the generalized Gross-Pitaevskii (GP) equation with some types of physically relevant parity-time-(PT-) and non-PT-symmetric potentials. We find that the constant momentum coefficient Gamma can modulate the linear stability and complicated transverse power-flows (not always from the gain toward loss) of nonlinear modes. However, the varying momentum coefficient Gamma(x) can modulate both unbroken linear PT-symmetric phases and stability of nonlinear modes. Particularly, the nonlinearity can excite the unstable linear mode (i.e., broken linear PT-symmetric phase) to stable nonlinear modes. Moreover, we also find stable bright solitons in the presence of non-PT-symmetric harmonic-Gaussian potential. The interactions of two bright solitons are also illustrated in PT-symmetric potentials. Finally, we consider nonlinear modes and transverse power-flows in the three-dimensional (3D) GP equation with the generalized PT-symmetric Scarff-II potential. Published by AIP Publishing.
DOI	10.1063/1.4960612
语种	英语
资助项目	NSFC[11571346] ; Youth Innovation Promotion Association CAS
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000383912400010
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23639
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,Wen, Zichao. On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT - and non-PT-symmetric potentials[J]. CHAOS,2016,26(8):20.
APA	Yan, Zhenya,Chen, Yong,&Wen, Zichao.(2016).On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT - and non-PT-symmetric potentials.CHAOS,26(8),20.
MLA	Yan, Zhenya,et al."On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT - and non-PT-symmetric potentials".CHAOS 26.8(2016):20.