“…Many papers study the effect of spatial modulation of the periodic potential (or the presence of impurities in the system) on the dynamics of the SGE solitons [1,2,5,6,19,28]. The SGE model with impurities describes, for example, a multilayer ferromagnet [40][41][42][43]. The importance of impurity modes in the kink dynamics was shown in [5,28,36].…”