Xie Qiongtao, Wang Linmao, Wang Yizhen, Shen Zhenjiang, Fu Jun
College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, China and Department of Physics, Hunan Normal University, Changsha 410081, China.
College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):063204. doi: 10.1103/PhysRevE.90.063204. Epub 2014 Dec 29.
We show that stable bright solitons can appear in a medium with spatially inhomogeneous self-defocusing (SDF) nonlinearity of a double-well structure. For a specific choice of the nonlinearity parameters, we obtain exact analytical solutions for the fundamental bright solitons. By making use of the linear stability analysis, the stability region in the parameter space for the exact fundamental bright soliton is obtained numerically. We also show the bifurcation from an antisymmetric to an asymmetric bright soliton for the SDF double-well nonlinearity.
我们表明，稳定的亮孤子可以出现在具有双阱结构的空间非均匀自散焦（SDF）非线性的介质中。对于非线性参数的特定选择，我们获得了基本亮孤子的精确解析解。通过利用线性稳定性分析，数值获得了精确基本亮孤子在参数空间中的稳定区域。我们还展示了SDF双阱非线性从反对称亮孤子到非对称亮孤子的分岔。
