Propagation and interaction of magnetic solitons in a ferromagnetic thin film with the interfacial Dzyaloshinskii-Moriya interaction

We study the propagation and interaction of magnetic solitons in a ferromagnetic thin film with the interfacial Dzyaloshinskii-Moriya interaction. The governing Landau-Lifshitz-Gilbert equation can be transformed into an integrable nonlinear Shrodinger-type equation in the long wave limit. With the use of the Hirota bilinear method, the analytical expressions of one-, two-, and three-soliton solutions are constructed. We find that the Dzyaloshinskii-Moriya interaction can change the velocities of magnetic solitons and affect the colliding position of the two solitons. In particular, a reverse effect of the propagation direction of the magnetic soliton is observed. Our results have potential applications in storage and communication technologies.