Abstract:
Numerical solutions of the system of magnetoelasticity equations are considered. A numerical scheme based on central differences for spatial derivatives and the fourth-order Runge–Kutta method for temporal derivatives is applied. Smoothed step type data (discontinuity decay problem) are used as initial data. The bounds of existence of discontinuity structures of various types are determined type. A methodology for calculating the structure with radiation and internal weak gap is developed. It is found that, in the most general form, the statement of the problem on the gap decay assumes the presence of vibrational states, an appropriate calculation is made.
