Solitons and their stability in the nonlocal nonlinear Schrödinger equation with PT-symmetric potentials.
Solitons and their stability in the nonlocal nonlinear Schrödinger equation with PT-symmetric potentials.
复制标题
DOI：
10.1063/1.4982972
复制
发表时间：
2017-05
期刊：
影响因子：
2.9
通讯作者：
Zichao Wen;Zhenya Yan
中科院分区：
文献类型：
--
作者：
Zichao Wen;Zhenya Yan
我们报告了具有广义 PT 对称 Scarf-II、Rosen-Morse 和周期势的自聚焦和离焦非局域非线性薛定谔方程的局域非线性模式。给出了线性有界态的破碎和未破碎 PT 对称相的参数区域以及所获得的孤子的线性稳定性。此外，我们在数值上探索了孤子的动力学行为，并找到了某些给定参数的稳定孤子。
We report localized nonlinear modes of the self-focusing and defocusing nonlocal nonlinear Schrödinger equation with the generalized PT-symmetric Scarf-II, Rosen-Morse, and periodic potentials. Parameter regions are presented for broken and unbroken PT-symmetric phases of linear bounded states and the linear stability of the obtained solitons. Moreover, we numerically explore the dynamical behaviors of solitons and find stable solitons for some given parameters.