Nath Debraj, Gao Yali, Babu Mareeswaran R, Kanna T, Roy Barnana
Department of Mathematics, Vivekananda College, Kolkata 700063, India.
School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China.
Chaos. 2017 Dec;27(12):123102. doi: 10.1063/1.4997534.
We explore different nonlinear coherent structures, namely, bright-dark (BD) and dark-dark (DD) solitons in a coupled nonlinear Schrödinger/Gross-Pitaevskii equation with defocusing/repulsive nonlinearity coefficients featuring parity-time ( PT)-symmetric potentials. Especially, for two choices of PT-symmetric potentials, we obtain the exact solutions for BD and DD solitons. We perform the linear stability analysis of the obtained coherent structures. The results of this linear stability analysis are well corroborated by direct numerical simulation incorporating small random noise. It has been found that there exists a parameter regime which can support stable BD and DD solitons.
我们研究了不同的非线性相干结构，即在具有聚焦/排斥非线性系数且具有宇称时间（PT）对称势的耦合非线性薛定谔/格罗斯 - 皮塔耶夫斯基方程中的亮 - 暗（BD）孤子和暗 - 暗（DD）孤子。特别地，对于两种PT对称势的选择，我们得到了BD和DD孤子的精确解。我们对所得到的相干结构进行了线性稳定性分析。通过包含小随机噪声的直接数值模拟，很好地证实了这种线性稳定性分析的结果。已经发现存在一个参数区域可以支持稳定的BD和DD孤子。
