Trigonometric Function Periodic Wave Solutions and Their Limit Forms for the KdV-Like and the PC-Like Equations

Figure 4

The limiting precess of 𝑢₂(𝜉) when 𝑐<0, (𝑎,𝑏)∈𝐴₂, and (𝑎,𝑏) tends to the line 𝑙₃, where 𝑎=4 and 𝑐=−1.

(a) for 𝑏=0.7

(b) for 𝑏=0.7499

(c) for 𝑏=0.7499999