Exact Peakon, Compacton, Solitary Wave, and Periodic Wave Solutions for a Generalized KdV Equation

Figure 5

Smooth periodic waves of (3) for 𝑥=1.

(a) 𝛼=1,𝛽=−3,𝑐=1 

(b) 𝛼=1.5,𝛽=0,𝑐=−1

(c) 𝛼=1,𝛽=2,𝑐=−0.5

(d) 𝛼=1.5,𝛽=0,𝑐=1