<p>We investigate dust magnetosonic solitary waves (DMSWs) propagating in magnetized plasmas composed of hot electrons, warm light ions, and heavy ions within Earth’s magnetosphere. The dynamics of DMSWs in such multi-ion plasmas (MIP) are governed by a Korteweg–de Vries (KdV) equation. Using Hirota’s bilinear method, we study the overtaking collision between two DMSWs, and present the variations in amplitude, trajectory, and phase shift during the interaction. The results indicate that when two solitons merge into a new one, the amplitude initially decreases and then increases. Furthermore, we analyze how the phase shift is influenced by various physical parameters, including the density and temperature of light and heavy ions, the external magnetic field, as well as the density and charge number of dust grains. It is important to emphasize that the interaction between solitons in these plasmas can result in a redistribution of momentum and energy.</p>