Landau–Lifshitz–Gilbert equation with symmetric coefficients of the dissipative function II

• A solution of the modified Landau–Lifshitz–Gilbert equation is presented.
• An expression for the damping coefficient and the frequency of the oscillations is obtained.
• It is shown that for large values of HH, the frequency is inversely proportional to H3H3.

In a previous study (Salazar and Perez Alcazar, 2015) we obtained the modified Landau–Lifshitz–Gilbert equation. The modification consisted in proposing a method to convert to symmetrical the kinetic coefficients of this equation. In the present study we find the solution to the proposed equation. This solution shows that the MxMx and MyMy components of the magnetization have damped oscillations. We find the expressions for the damping coefficient and the frequency of the oscillations and show their graphs. Finally, we compare these graphs with those that correspond to the frequency of oscillations for the magnetization in the Landau–Lifshitz–Gilbert equation.