Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov-Kuznetsov Equation

Figure 11

Two tall-kink waves are bifurcated form the symmetric periodic waves. The varying process for the figures of 𝑢^±_𝑔 when (𝑎,𝑏)∈𝐴₃ and 𝑏→−(5𝑎²/36𝑐)+0, where 𝑐=𝑎=1, 𝛿=𝛾=−1, and (a) 𝑏=−(5𝑎²/36𝑐)+10⁻², (b) 𝑏=−(5𝑎²/36𝑐)+10⁻³, (c) 𝑏=−(5𝑎²/36𝑐)+10⁻⁴, and (d) 𝑏=−(5𝑎²/36𝑐)+10⁻⁷.

(a)

(b)

(c)

(d)