New Types of Nonlinear Waves and Bifurcation Phenomena in Schamel-Korteweg-de Vries Equation

Figure 18

(The periodic blow-up wave is bifurcated from the periodic wave). The varying process for the graph of 𝑢_ℎ when 𝑐>0, 𝛿<0, 𝑎>0, 𝜂>0, and 𝑏→0−0, where 𝑐=1, 𝛿=−1, 𝑎=1, 𝜂=1.57, and (a) 𝑏=0−0.2. (b) 𝑏=0−0.1. (c) 𝑏=0−0.05. (d) 𝑏=0−0.01.

(a)

(b)

(c)

(d)