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

Figure 19

(The periodic wave become the trivial wave). The varying process for the graph of 𝑢_ℎ when 𝑐>0, 𝛿<0, 𝑎>0, 𝜂<0, and 𝑏→−16𝑎²/75𝑐+0, where 𝑐=1, 𝛿=−1, 𝑎=1, 𝜂=−4.7, and (a) 𝑏=−16𝑎²/75𝑐+10⁻². (b) 𝑏=−16𝑎²/75𝑐+10⁻³. (c) 𝑏=−16𝑎²/75𝑐+10⁻⁴. (d) 𝑏=−16𝑎²/75𝑐+10⁻⁷.

(a)

(b)

(c)

(d)