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Solitons in a nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity: Stability and excitation of nonlinear modes
Yan, Zhenya1; Wen, Zichao1; Konotop, Vladimir V.2,3
2015-08-13
发表期刊PHYSICAL REVIEW A
ISSN1050-2947
卷号92期号:2页码:8
摘要We report branches of explicit expressions for nonlinear modes in parity-time (PT)-symmetric potentials of several types. For the single-well and double-well potentials the found solutions are two-parametric and appear to be stable even when the PT symmetry of respective underlying linear models is broken. Based on the examples of these solutions we describe an algorithm of excitation of a stable nonlinear mode in a model whose linear limit is unstable. The method is based on the adiabatic change of the control parameter driving the mode along a branch bifurcating from a stable linear mode. The suggested algorithm is confirmed by extensive numerical simulations.
DOI10.1103/PhysRevA.92.023821
语种英语
资助项目NSFC[61178091] ; NKBRPC[2011CB302400] ; FCT (Portugal)[UID/FIS/00618/2013] ; FCT (Portugal)[PTDC/FIS-OPT/1918/2012]
WOS研究方向Optics ; Physics
WOS类目Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号WOS:000359438800008
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/20517
专题系统科学研究所
通讯作者Yan, Zhenya
作者单位1.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
2.Univ Lisbon, Ctr Fis Teor & Computac, P-1749016 Lisbon, Portugal
3.Univ Lisbon, Dept Fis, Fac Ciencias, P-1749016 Lisbon, Portugal
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Yan, Zhenya,Wen, Zichao,Konotop, Vladimir V.. Solitons in a nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity: Stability and excitation of nonlinear modes[J]. PHYSICAL REVIEW A,2015,92(2):8.
APA Yan, Zhenya,Wen, Zichao,&Konotop, Vladimir V..(2015).Solitons in a nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity: Stability and excitation of nonlinear modes.PHYSICAL REVIEW A,92(2),8.
MLA Yan, Zhenya,et al."Solitons in a nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity: Stability and excitation of nonlinear modes".PHYSICAL REVIEW A 92.2(2015):8.
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