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

Figure 9

The periodic-blow-up waves are bifurcated from the symmetric periodic waves. The varying process for the figures of 𝑢^±_𝑓 when (𝑎,𝑏)∈𝐴₂ and 𝑏→0−0, where 𝑐=𝑎=1, 𝛾=𝛿=−1, and (a) 𝑏=0−10⁻¹, (b) 𝑏=0−10⁻², (c) 𝑏=0−10⁻⁴, and (d) 𝑏=0−10⁻⁷.

(a)

(b)

(c)

(d)