  Magnetic solitons are promising for applications due to their intrinsic
properties such as small size, topological stability, ultralow power
manipulation and potentially ultrafast operations. To date, research has
focused on the manipulation of skyrmions, domain walls, and vortices by applied
currents. The discovery of new methods to control magnetic parameters, such as
the interfacial Dzyaloshinskii-Moriya interaction (DMI) by strain, geometry
design, temperature gradients, and applied voltages promises new avenues for
energetically efficient manipulation of magnetic structures. The latter has
shown significant progress in 2d material-based technology. In this work, we
present a comprehensive study using numerical and analytical methods of the
stability and motion of different magnetic textures under the influence of DMI
gradients. Our results show that under the influence of linear DMI gradients,
N\'eel and Bloch-type skyrmions and radial vortex exhibit motion with finite
skyrmion Hall angle, while the circular vortex undergoes expulsion dynamics.
This work provides a deeper and crucial understanding of the stability and
gradient-driven dynamics of magnetic solitons, and paves the way for the design
of alternative low-power sources of magnetization manipulation in the emerging
field of 2d materials.
