Optical solitons, self-focusing, and wave collapse in a space-fractional Schrodinger equation with a Kerr-type nonlinearity
Optical solitons, self-focusing, and wave collapse in a space-fractional Schrodinger equation with a Kerr-type nonlinearity
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具有克尔型非线性的空间分数阶薛定谔方程中的光孤子、自聚焦和波塌陷
DOI：
10.1103/physreve.98.022211
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发表时间：
2018-08-15
影响因子：
2.4
通讯作者：
Guo, Qi
中科院分区：
文献类型：
--
作者：
Chen, Manna;Zeng, Shihao;Guo, Qi
研究了具有克尔非线性的空间分数阶薛定谔方程所描述的系统中（1+1）维光束的非线性动力学。利用变分方法，得到了分数阶Levy指数α值不同时的解析孤子解。所有孤子在1 < α时都是稳定的
We investigate the nonlinear dynamics of (1+1)-dimensional optical beam in the system described by the space-fractional Schrodinger equation with the Kerr nonlinearity. Using the variational method, the analytical soliton solutions are obtained for different values of the fractional Levy index alpha. All solitons are demonstrated to be stable for 1 < alpha