Figure 1. (a). Shape and motion of 1SS (42a) for equation (43), in which k = 1, c = 1, d = 1, y = 0. (b). Shape and motion of 2SS (45) for equation (43), in which ${k}_{1}=0.8,{k}_{2}=-0.6,{c}_{1}=1$, ${c}_{2}=1,{d}_{1}=1,{d}_{2}=2,y=0$. (c). Shape and motion of 2SS (45) for equation (43), in which ${k}_{1}=1.2,{k}_{2}=-0.8,{c}_{1}=1,{c}_{2}=1,{d}_{1}=-1,{d}_{2}=2,y=0$. 1(d). Breather provided by (45) for equation (43), in which ${k}_{1}=0.8+0.6i,{k}_{2}=0.8-0.6i,{c}_{1}=1$, ${c}_{2}=1,{d}_{1}=1,{d}_{2}=1,y=0$.
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