Dependence of velocity of domain wall on its distance from the source of spin wave for different wave numbers. The inset shows the dispersion relations with and without damping, as well as the dependence of attenuation length on the wave number. Here the Gilbert damping constant α = 0.01. The amplitude parameter ρ = 0.2. The rest parameters are the same as those in Fig. 3. Thus, the domain width Δ is 1.74 × 10^{– 8} m after restoring the dimension and the natural unit of velocity is γ0A/μ0=584 m/s.