Interaction of a nonlinear spin wave and magnetic soliton in a uniaxial anisotropic ferromagnet

TL;DR

This paper analytically investigates the interaction between nonlinear spin waves and magnetic solitons in a uniaxial anisotropic ferromagnet, revealing elastic collisions and the influence of spin wave parameters on soliton properties.

Contribution

It provides explicit one- and two-soliton solutions in a nonlinear spin-wave background using Darboux transformation, highlighting their properties and interactions.

Findings

Solitons can be trapped spatially within a nonlinear spin wave background.

The amplitude and wave number of spin waves affect soliton width, velocity, and amplitude.

Solitons exhibit elastic collisions with shape invariability before and after interaction.

Abstract

We study the interaction of a nonlinear spin-wave and magnetic soliton in a uniaxial anisotropic ferromagnet. By means of a reasonable assumption and a straightforward Darboux transformation one- and two-soliton solutions in a nonlinear spin-wave background are obtained analytically, and their properties are discussed in detail. In the background of a nonlinear spin wave the amplitude of the envelope soliton has the spatial and temporal period, and soliton can be trapped only in space. The amplitude and wave number of spin wave have the different contribution to the width, velocity, and the amplitude of soliton solutions, respectively. The envelope of solution hold the shape of soliton, and the amplitude of each envelope soliton keeps invariability before and after collision which shows the elastic collision of two envelope soliton in the background of a nonlinear spin wave.