Exact soliton solution and inelastic two-soliton collision in spin chain driven by a time-dependent magnetic field

摘要

We investigate dynamics of exact N-soliton trains in spin chain driven by atime-dependent magnetic field by means of an inverse scattering transformation.The one-soliton solution indicates obviously the spin precession around themagnetic field and periodic shape-variation induced by the time varying fieldas well. In terms of the general soliton solutions N-soliton interaction andparticularly various two-soliton collisions are analyzed. The inelasticcollision by which we mean the soliton shape change before and after collisionappears generally due to the time varying field. We, moreover, show thatcomplete inelastic collisions can be achieved by adjusting spectrum and fieldparameters. This may lead a potential technique of shape control of soliton.