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DOI:	10.1371/journal.pone.0100484
论文题名:	Three-Dimensional Structures of the Spatiotemporal Nonlinear Schrödinger Equation with Power-Law Nonlinearity in PT-Symmetric Potentials
作者:	Chao-Qing Dai; Yan Wang
刊名:	PLOS ONE
ISSN:	1932-6203
出版年:	2014
发表日期:	2014-7-1
卷:	9, 期:7
语种:	英语
英文关键词:	Eigenvalues ; Diffraction ; Nonlinear dynamics ; White noise ; Mathematical physics ; Condensed matter physics ; Nonlinear systems ; Perturbation (geology)
英文摘要:	The spatiotemporal nonlinear Schrödinger equation with power-law nonlinearity in -symmetric potentials is investigated, and two families of analytical three-dimensional spatiotemporal structure solutions are obtained. The stability of these solutions is tested by the linear stability analysis and the direct numerical simulation. Results indicate that solutions are stable below some thresholds for the imaginary part of -symmetric potentials in the self-focusing medium, while they are always unstable for all parameters in the self-defocusing medium. Moreover, some dynamical properties of these solutions are discussed, such as the phase switch, power and transverse power-flow density. The span of phase switch gradually enlarges with the decrease of the competing parameter k in -symmetric potentials. The power and power-flow density are all positive, which implies that the power flow and exchange from the gain toward the loss domains in the cell.
URL:	http://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0100484&type=printable
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资源类型:	期刊论文
标识符:	http://119.78.100.158/handle/2HF3EXSE/19846
Appears in Collections:	过去全球变化的重建影响、适应和脆弱性科学计划与规划气候变化与战略全球变化的国际研究计划气候减缓与适应气候变化事实与影响

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10.1371journal.pone.0100484.PDF（1196KB）	期刊论文	作者接受稿	开放获取	CC BY-NC-SA	View Download

作者单位:

School of Sciences, Zhejiang Agriculture and Forestry University, Lin'an, Zhejiang, P.R.China;Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra ACT, Australia;Institute of Theoretical Physics, Shanxi University, Taiyuan, P.R.China

Recommended Citation:

Chao-Qing Dai,Yan Wang. Three-Dimensional Structures of the Spatiotemporal Nonlinear Schrödinger Equation with Power-Law Nonlinearity in PT-Symmetric Potentials[J]. PLOS ONE,2014-01-01,9(7)

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