Figure 4

(Color online) Bell-shaped and kink-shaped one-soliton structures via solutions (27) with parameters \(\lambda _{1}=\frac{8}{5}, \lambda _{2}=3, \alpha =\frac{3}{4}, C_{1,1}=C_{2,1}=C_{1,2}=-C_{2,2}=1\). (a1)–(d1) The profiles of one-soliton solutions \(\tilde{u}_{n}, \tilde{p}_{n}, \tilde{v}_{n}\) and \(\tilde{x}_{n}\). (a2)–(d2) The propagation processes for \(\tilde{u}_{n}, \tilde{p}_{n}, \tilde{v}_{n}\) and \(\tilde{x}_{n}\) at \(t=-5 \) (dash-doted line), \(t=0 \) (long dashed line) and \(t=5\) (solid line)