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

Figure 4

Solitary waves of (3) for 𝑥=1.

(a) 𝛼=1,𝛽=−3,𝑐=1,𝑔=−0.45 

(b) 𝛼=1,𝛽=0,𝑐=−2,𝑔=−1

(c) 𝛼=1,𝛽=3,𝑐=−1,𝑔=−0.4

(d) 𝛼=1,𝛽=0,𝑐=2,𝑔=−1

(e) 𝛼=−1,𝛽=3,𝑐=1,𝑔=−0.49

(f) 𝛼=−1,𝛽=0,𝑐=−1,𝑔=−0.4

(g) 𝛼=−1,𝛽=−3,𝑐=−1,𝑔=−0.49

(h) 𝛼=−1,𝛽=0,𝑐=2,𝑔=−1.7