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具有空间非均匀非线性的散焦介质中的涡旋孤子

Vortex solitons in defocusing media with spatially inhomogeneous nonlinearity.

作者信息

Tian Qing, Wu Lei, Zhang Yonghao, Zhang Jie-Fang

机构信息

School of Physics Science and Technology, Soochow University, Suzhou, Jiangsu, People's Republic of China.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 May;85(5 Pt 2):056603. doi: 10.1103/PhysRevE.85.056603. Epub 2012 May 11.

DOI:10.1103/PhysRevE.85.056603
PMID:23004891
Abstract

The analytical two- and three-dimensional vortex solitons with arbitrary values of vorticity are constructed in the cubic defocusing media with spatially inhomogeneous nonlinearity. The values of the nonlinearity coefficients are zero near the center and increase rapidly toward the periphery. In addition to the analytical ones, a number of vortex solitons are found numerically. It is shown that analytical vortex solitons are stable. Also, the stability region of the numerically constructed vortex solitons are given.

摘要

在具有空间非均匀非线性的立方型散焦介质中构造了具有任意涡量值的二维和三维解析涡旋孤子。非线性系数的值在中心附近为零，并朝着边缘迅速增加。除了解析孤子外，还通过数值方法发现了许多涡旋孤子。结果表明解析涡旋孤子是稳定的。此外，还给出了数值构造的涡旋孤子的稳定区域。

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引用本文的文献

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Robust symmetry of two-dimensional fundamental and vortex solitons supported by spatially modulated nonlinearity.由空间调制非线性支持的二维基孤子和涡旋孤子的强对称性
Sci Rep. 2019 Mar 14;9(1):4483. doi: 10.1038/s41598-019-40752-x.
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Creation of vortices by torque in multidimensional media with inhomogeneous defocusing nonlinearity.具有非均匀散焦非线性的多维介质中由扭矩产生的涡旋
Sci Rep. 2015 Mar 24;5:9420. doi: 10.1038/srep09420.