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

Figure 8

The 1-blow-up waves are bifurcated from the periodic-blow-up waves. The varying process for the figures of 𝑢^±_𝑒 when 𝑏→−(5𝑎²/36𝑐)+0, where 𝛾=𝛿=𝑐=𝑎=1 and (a) 𝑏=−(5𝑎²/36𝑐)+10⁻¹, (b) 𝑏=−(5𝑎²/36𝑐)+10⁻², (c) 𝑏=−(5𝑎²/36𝑐)+10⁻³, and (d) 𝑏=−(5𝑎²/36𝑐)+10⁻⁴.

(a)

(b)

(c)

(d)