In this paper, we first study the applications of the wave propagation flow in the normal direction, which is assumed to be the path of the propagated light radiated by Heisenberg ferromagnetic equation. Then the Coriolis phase is mainly used to demonstrate the relationship between the geometric magnetic phase and parallel transportation of the wave propagation field of the evolving light radiating in the normal orientation with Heisenberg ferromagnetic equation. Moreover, we investigate the geometric magnetic interpretation of the binormal evolution of the wave propagation field in the normal direction by considering the nonlinear fractional system with the repulsive type. Finally, we obtain numerical fractional solutions for the nonlinear fractional systems with the repulsive type by using the q-Homotopy analysis transform (q-HATM) method.

中文翻译：

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海森堡铁磁方程法线方向的双正态薛定谔系统与Q-HATM方法

在本文中，我们首先研究了波传播流在法线方向上的应用，法线方向是海森堡铁磁方程所假设的传播光的辐射路径。然后科里奥利相位主要用于用海森堡铁磁方程证明几何磁相位与正常方向辐射的演化光的波传播场的平行传输之间的关系。此外，我们通过考虑具有排斥型的非线性分数系统，研究了波传播场在法线方向上的副法线演化的几何磁解释。最后，我们得到了具有排斥型的非线性分数系统的数值分数解q-同伦分析变换（q-HATM) 方法。