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DOI:	10.1371/journal.pone.0115935
论文题名:	Higher Dimensional Gaussian-Type Solitons of Nonlinear Schrödinger Equation with Cubic and Power-Law Nonlinearities in PT-Symmetric Potentials
作者:	Yi-Xiang Chen; Fang-Qian Xu
刊名:	PLOS ONE
ISSN:	1932-6203
出版年:	2014
发表日期:	2014-12-26
卷:	9, 期:12
语种:	英语
英文关键词:	White noise ; Diffraction ; Eigenvalues ; Mathematical physics ; Perturbation (geology) ; Engineering and technology ; Nonlinear dynamics ; Partial differential equations
英文摘要:	Two families of Gaussian-type soliton solutions of the (n+1)-dimensional Schrödinger equation with cubic and power-law nonlinearities in -symmetric potentials are analytically derived. As an example, we discuss some dynamical behaviors of two dimensional soliton solutions. Their phase switches, powers and transverse power-flow densities are discussed. Results imply that the powers flow and exchange from the gain toward the loss regions in the cell. Moreover, the linear stability analysis and the direct numerical simulation are carried out, which indicates that spatial Gaussian-type soliton solutions are stable below some thresholds for the imaginary part of -symmetric potentials in the defocusing cubic and focusing power-law nonlinear medium, while they are always unstable for all parameters in other media.
URL:	http://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0115935&type=printable
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资源类型:	期刊论文
标识符:	http://119.78.100.158/handle/2HF3EXSE/19753
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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File Name/ File Size	Content Type	Version	Access	License
journal.pone.0115935.PDF（820KB）	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 Electronics Information, Zhejiang University of Media and Communications, Hangzhou, 310018, P.R.China;School of Electronics Information, Zhejiang University of Media and Communications, Hangzhou, 310018, P.R.China

Recommended Citation:

Yi-Xiang Chen,Fang-Qian Xu. Higher Dimensional Gaussian-Type Solitons of Nonlinear Schrödinger Equation with Cubic and Power-Law Nonlinearities in PT-Symmetric Potentials[J]. PLOS ONE,2014-01-01,9(12)

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