Abstract
In this paper, we propose a square lattice model to study the nonlinear spin excitations of an inhomogeneous helimagnet with bilinear, twist and anisotropic interactions in the semi classical limit. The dynamics is found to be governed by a nonlinear partial differential equation (pde) in (2 + 1) dimensions. The nonlinear excitations and the influence of different types of interactions are investigated using a perturbation technique. The effect of inhomogeneities in the system is demonstrated graphically in terms of soliton stability.
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