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

Figure 3

The limiting precess of 𝑢₁(𝜉) when 𝑐<0, (𝑎,𝑏)∈𝐴₅, and (𝑎,𝑏) tends to the line 𝑙₁, where 𝑎=−4 and 𝑐=−1.

(a) for 𝑏=−0.66

(b) for 𝑏=−0.2

(c) for 𝑏=−0.00001