KMS Of Academy of mathematics and systems sciences, CAS
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 |
ISSN | 1050-2947 |
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. |
DOI | 10.1103/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 |
推荐引用方式 GB/T 7714 | 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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