Fig. 1. The solution (49) with Formula (47). The free parameters are {n = 0.2, m = 0.5, a₁ = 1, a₃ = 1, k₁ = 1, k₂ = 1, ω₂ = 1, α = –0.8, β = 1}. 满足(47)式的碰撞波解(49)式. 自由参数为{n = 0.2, m = 0.5, a₁ = 1, a₃ = 1, k₁ = 1, k₂ = 1, ω₂ = 1, α = –0.8, β = 1}

Fig. 2. The solution (49) with Formula (47). The free parameters are {n = 0.2, m = 0.9, a₁ = 1, a₃ = 1, k₁ = 1, k₂ = 1, ω₂ = 1, α = –0.8, β = 1}. 满足(47)式的碰撞波解(49)式. 自由参数为 {n = 0.2, m = 0.9, a₁ = 1, a₃ = 1, k₁ = 1, k₂ = 1, ω₂ = 1, α = –0.8, β = 1}

Fig. 3. The density of u. The parameters of the Fig. (a) are the same as those of Figure 1 and the parameters of the Fig. (b) are the same as those of Figure 2. u的密度函数图. 图(a)的参数与图1相同, 图(b)的参数与图2相同

Fig. 4. The interaction solution (49) with parameter satisfying Formula (48). The free parameters are chosen as {n = 0.4, a₁ = 1, a₂ = 1, a₃ = 2.2, k₁ = 1, k₂ = –0.22, ω₂ = 1, α = –400, β = 80}. 参数关系满足(48)式的碰撞波解(49)式的演化图. 自由参数为 {n = 0.4, a₁ = 1, a₂ = 1, a₃ = 2.2, k₁ = 1, k₂ = –0.22, ω₂ = 1, α = –400, β = 80}

Fig. 5. The interaction solution (49) with parameter satisfying Formula (48). The free parameters are selected as {n = 0.6, a₁ = 2, a₂ = 1, a₃ = 4, k₁ = 1, k₂ = –0.12, ω₂ = 0.1, α = –14, β = 6}. 参数关系满足(48)式的碰撞波解(49)式. 自由参数为{n = 0.6, a₁ = 2, a₂ = 1, a₃ = 4, k₁ = 1, k₂ = –0.12, ω₂ = 0.1, α = –14, β = 6}

Fig. 6. The density of u. The Fig. (a) is related to Fig. 4 and the Fig. (b) is corresponding to Fig. 5. u的密度函数图. 图(a)对应图4, 图(b)对应图5