Dynamics of soliton collision phenomena on classical discrete Heisenberg weak ferromagnetic spin chain

Abstract

We study the collision dynamics of soliton in discrete classical ferromagnetic spin chain with Dzyaloshinskii-Moriya (DM) interaction in the classical limit. The discrete spin dynamics are found to be governed by discrete nonlinear Schrödinger (DNLS) equation. One soliton and two soliton solutions of DNLS equation are obtained by employing the discrete Hirota bilinearization method. Through the graphical illustrations for the one soliton and two soliton solution, we discuss the effect of DM interaction in ferromagnetic spin chain. Inelastic collision phenomenon occurring in this system and both amplitudes of each soliton get suppressed or enhanced after collision. We also find the discreteness effect on the soliton excitation in ferromagnetic spin chain. The modulation in the soliton excitation induced by DM interaction and discreteness is also discussed briefly.