Soliton and Periodic Wave Solutions to the Osmosis𝐾(2,2) Equation

Figure 1

The curve of 𝑓(𝜑) for the wave speed 𝑐=2. (a) 𝑎=−40, 𝑏=200; (b) 𝑎=−40, 𝑏=226.0424; (c) 𝑎=1.5, 𝑏=−0.05; (d) 𝑎=1.5, 𝑏=0; (e) 𝑎=16/9, 𝑏=−0.1; (f) 𝑎=16/9, 𝑏=0; (g) 𝑎=17/9, 𝑏=−0.24; (h) 𝑎=17/9, 𝑏=−0.1842.

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)