Figure 2. Vertical line soliton solution of equation (2.52). (a) Shape of u given in (3.3a) at t = 0 with ${l}_{1}=1,\ {\beta }_{1}(t)=8\sin t+8a({a}^{2}\,-3{b}^{2}),{\eta }_{1}^{(0)}=0$. (b) Shape of $| {\phi }_{1}{| }^{2}$ given in (3.3b) at t = 0 with same l1, β1(t) and ${\eta }_{1}^{(0)}$. (c) 2D plot of (a) at y = 0 and t = −2 (red solid curve), t = 0 (blue dot-dashed curve) and t = 1 (black dashed curve). (d) 2D plot of (b) at y = 0 and t = −2 (red solid curve), t = 0 (blue dot-dashed curve) and t = 1 (black dashed curve).
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