Damping-like effects in Heisenberg spin chain caused by the site-dependent bilinear interaction

Yu-Juan Zhang,Dun Zhao,Zai-Dong Li

Figure 3. Influences of the parameter β(t) and γ(t) to the dynamics of the magnetic soliton given by equation (30). (a) β(t) = 1; (b) β(t) = 2t; (c) $\beta (t)=2\sin (t);$ (d) γ(t) = 1; (e) γ(t) = 2t; (f) $\gamma (t)=2\sin (t)$. In (a)–(c), γ(t) = 0; and in (d)–(f), β(t) = 0. The other parameters are ω1 = 1, ω2 = 1, α(t) = 1, x ∈ [−10, 10], t ∈ [−5, 5].