Abstract
Using Glauber’s coherent state approach along with the Dyson–Maleev bosonic representation of spin operators, we examine the nonlinear spin dynamics of a 3-dimensional Heisenberg ferromagnetic spin system with bilinear and anisotropic interactions in the semi-classical limit. By combining the multiple-scale technique with quasi-discreteness approximation, we create a perturbed Cubic Nonlinear Schrödinger equation. We perform a multiple-scale perturbation analysis to see how discreteness affects the soliton excitations. We created the perturbed soliton, and the perturbation analysis demonstrates that the soliton’s amplitude and velocity remain unchanged. Moreover, graphical illustrations and analytical solutions are provided to illustrate the aspects of modulational instability.
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