Abstract
Analytical solutions of the inertial Landau‒Lifshitz‒Gilbert equation for the longitudinal and transverse components of the magnetization of a single-domain ferromagnetic nanoparticle under near-saturation conditions are obtained. The solution method is based on simplifying the equation using the first integrals, which are determined using the analogy between the inertial motion of magnetization and the mechanical rotation of a solid. It is shown that accounting for the magnetization inertia causes the nutation at a frequency represented by means of a complete elliptic integral of the first kind. The dependence of the nutation amplitude on the external field value is discussed.
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