Abstract
A theoretical analysis of elementary excitations in the form of soliton modes in the alternating cubic spinel ferromagnetic multilayer is presented, using the coherent-state method coupled with the Holstein–Primakoff (HP) representation of spin operators. The Hamiltonian and the equations of motion for a cubic spinel ferromagnetic multilayer are rewritten in dimensionless forms, and two partial differential equations with nonlinear coupling are obtained. By the method of multiple scales, the equations are reduced to a nonlinear Schrodinger equation. Criteria for the existence of bright and dark solitons are studied. It is shown that due to the long-range and static dipole–dipole interactions, there exist different types of magnetic solitary excitations.
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