Periodic and Solitary-Wave Solutions for a Variant of the K(3,2) Equation

Figure 2

The phase portraits of system (2.8) for the wave speed 𝑐>0. (a) 𝑔>𝑔₁(𝑐); (b) 𝑔<𝑔₃(𝑐); (c) 𝑔=𝑔₁(𝑐); (d) 𝑔=𝑔₃(𝑐); (e) 𝑔₂(𝑐)<𝑔<𝑔₁(𝑐); (f) 𝑔₃(𝑐)<𝑔<𝑔₂(𝑐); (g) 𝑔=𝑔₂(𝑐).

(a)

(b)

(c)

(d)

(e)

(f)

(g)