Bright–dark kink soliton transport in a spin rotator model of Heisenberg Helimagnet

Abstract

We examine the dynamics of a helimagnetic spin system in the continuum limit by introducing a spin rotator model that incorporates both anisotropic and bilinear interactions. The resulting dynamical equations of motion are derived and analyzed through analytical as well as graphical methods using the Multiple Exponential Function approach, with particular emphasis on the influence of various interaction mechanisms. The effects of lattice deformations are also explored. Furthermore, the modulational instability (MI) of the proposed magnetic spin system is investigated analytically through linear stability analysis.