Fig. 1. (a) Soliton molecule consisting of two solitons with parameter selections λ1=23+7i6, λ3=34+5i4, ξ = 40. (b) Soliton molecule consisting of three solitons with parameter selections λ1=23+7i6, λ3=1+3i2, λ5=34+5i4, ξ = 40. (c) Soliton molecule consisting of four solitons with parameter selections λ1=23+7i6, λ3=1+3i2, λ5=34+5i4, λ7=43+55i6, ξ = 10.

Fig. 2. The evolution of a two-positon |q_{2 − p}| with α₁ = 1 / 3, β₁ = 2 / 5 of the GI equation: (a) 3D plot, (b) density plot, where two red curves are approximate trajectories defined by H±ln(4096α14β14t2)8α1β1=0, which compared with density plot are shown consistence; (c) 2D plot of two-positon solution |q_{2 − p}| at t = −100, t = 0, t = 100.

Fig. 3. The evolution of a three-positon |q_{3 − p}| with α₁ = 1 / 3, β₁ = 2 / 5 of the GI equation: (a) 3D plot, (b) density plot, where two red curves are approximate trajectories defined by H±ln(4194304α18β18t4)8α1β1 and the middle white curve is trajectory without phase shift, which compared with density plot are shown consistence; (c) 2D plot of three-positon solution |q_{3 − p}| at t = −20, t = 0, t = 20.

Fig. 4. The evolution of a four-positon |q_{4 − p}| with α₁ = 1 / 2, β₁ = 1 / 2 of the GI equation on (x, t)-plane: (a) the 3D plot, (b) the density plot.

Fig. 5. The evolution of hybrid solution consisting of a soliton and two-positon with α₁ = 2 / 5, α₁ = 1 / 5, α₃ = 1 / 5, β₃ = 2 / 5 of the GI equation on (x, t)-plane: (a) the 3D plot, (b) the density plot.

Fig. 6. The evolution of hybrid solution consisting of a soliton and three-positon with α₁ = 2 / 5, β₁ = 1 / 5, α₃ = 1 / 5, β₃ = 2 / 5 of the GI equation on (x, t)-plane: (a) the 3D plot, (b) the density plot.

Fig. 7. The evolution of hybrid solution consisting of two solitons and two-positon with α₁ = 1 / 2, β₁ = 1 / 2, α₃ = 1 / 2, β₃ = 1 / 3, α₅ = 1 / 5, β₅ = 2 / 5 of the GI equation on (x, t)-plane: (a) the 3D plot, (b) the density plot.