摘要
通过分裂谱方法来研究空间分数阶半经典Schr■odinger方程的高振荡特征,并与相应整数阶半经典Schr■dinger方程解的行为比较.通过数值比较分析,发现整数阶Schr■dinger方程解的高振荡行为对于分数阶Schr■dinger方程同样存在,且空间分数阶Laplacian算子的阶在某些情况下对于解的高振荡具有直接影响.
In this paper,we mainly use Strong splitting Fourier spectral method to study highly oscillatory behavior of solutions of space fractional semi-classical Schr■dinger equation.Compared with the highly oscillatory behavior of integer order,it turns out that this highly oscillatory behavior applies to fractional Schr■dinger equations as well,and the order of space fractional Laplacian operator has a direct influence on the highly oscillatory behavior of the solution in some cases.
作者
孙苏珍
王冬岭
Sun Suzhen;Wang Dongling(School of Mathematics,Northwest University,Xi′an 710127,China)
出处
《纯粹数学与应用数学》
2019年第4期426-436,共11页
Pure and Applied Mathematics
基金
国家自然科学基金(11871057,11501447)
陕西省自然科学基金(2018KJXX-070)
