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

Figure 5

The limiting precess of 𝑢₂(𝜉) when 𝑐>0, (𝑎,𝑏)∈𝐵₅, and (𝑎,𝑏) tends to the line 𝑘₁, where 𝑎=−2 and 𝑐=1.

(a) for 𝑏=−1

(b) for 𝑏=−0.05

(c) for 𝑏=−0.0001