Unveiling stable one-dimensional magnetic solitons in magnetic bilayers

We propose a novel model which efficiently describes the magnetization dynamics in a magnetic bilayer system. By applying a particular gauge transformation to the Landau-Lifshitz-Gilbert (LLG) equation, we successfully convert the model into an exactly integrable framework. Thus the obtained analytical solutions allow us to predict a one-dimensional magnetic soliton pair existing by tuning the thickness of the spacing layer between the two ferrimagnetic layers. The decoupling-unlocking-locking transition of soliton motion is determined at various interaction intensity. Our results have implications for the manipulation of magnetic solitons and the design of theoretical magnetic soliton-based distance detection prototype.