Inhomogeneous exchange within ferrites: Magnetic solitons and their interactions

• Inhomogeneous exchange within ferrites induces some soliton structure in the dynamics.
• The head-on collisions between the magnetic waveguide excitations depict elastic features.
• The individual shifts of the interacting waves comprise two parts: the first part is due to nonlinearity and the second one characterizes the relative motion of the individual wave excitations.

In the wake of the recent investigation of inhomogeneous exchange effects within ferrites [Kuetche et al., J. Magn. Magn. Mater. 3374 (2015) [1]], we pay a particular interest to the magnetic solitons and their dynamics. We study extensively the interactions between these waves while depicting the two-soliton features and the three-soliton scattering scenarios of the waveguides. As a result, we find that these typical head-on collisions are actually elastic. Discussing deeply the results, we determine the individual shifts of the interacting waves and we find that they actually comprise two parts: the first one relates to the nonlinear character of the interactions and the second one characterizes the motion of the smaller soliton along the larger one. Additionally, we depict the energy density of the interacting waves and we address the physical implications of the previous results.