We investigate throughout this paper the effect of inhomogeneity on the propagation of solitons in ferromagnetic systems governing the magnetization evolution in a magnetic medium. Indeed we focus our attention on a nonlinear evolution equation derived by M. Saravanan and A. Arnaudon (2018 Phys. Lett. A 382 2638) that takes into account the inhomogeneity we are interested in. The perturbed soliton solutions are constructed using a multiple scale soliton perturbation theory by solving the associated linear eigenvalue problem with proper derivation of complete set of eigenfunctions. We present two types of inhomogeneities, such as localized and linear, and their effects on soliton propagation. It is found that the localized inhomogeneity supports stable soliton excitations with constant amplitude.

我们贯穿本文研究不均匀性对控制磁介质中磁化演化的铁磁系统中孤子传播的影响。的确，我们将注意力集中在M.Saravanan和A.Arnaudon（2018 Phys.Lett.A 382 2638）得出的非线性演化方程中，该方程考虑了我们感兴趣的不均匀性。被摄动的孤子解是使用多尺度构建的孤子摄动理论，通过适当推导完整的本征函数集来解决相关的线性特征值问题。我们介绍两种不均匀性，例如局部性和线性性，以及它们对孤子传播的影响。发现局部不均匀性支持具有恒定振幅的稳定孤子激发。