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

Figure 7

Two 1-blow-up waves are bifurcated from two symmetric solitary waves. The varying process for the figures of 𝑢^±_𝑎𝑏^∗ when 𝜆=−𝛽²₁−4𝛼₁, (𝑎,𝑏)∈𝐴₆, and 𝑏→0+0, where 𝜆=𝑎=−1, 𝛾=𝛿=𝑐=1, and (a) 𝑏=0+5×10⁻¹, (b) 𝑏=0+10⁻², (c) 𝑏=0+10⁻⁴, and (d) 𝑏=0+10⁻⁷.

(a)

(b)

(c)

(d)