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

TL;DR

This paper derives exact soliton solutions for a spin chain under a time-dependent magnetic field, analyzing their inelastic collisions and demonstrating how to control soliton shapes through parameter adjustments.

Contribution

It provides explicit N-soliton solutions and reveals inelastic collision phenomena in spin chains influenced by time-varying magnetic fields, enabling potential shape control of solitons.

Findings

Inelastic two-soliton collisions depend on the magnetic field parameters.

Complete inelastic collisions can be achieved by tuning spectrum and field parameters.

Soliton shape can be controlled through parameter adjustments.

Abstract

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