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

Figure 12

Four symmetric solitary waves become two trivial waves. The varying process for the figures of 𝑢^±_ℎ and 𝑢^±_𝑖 when 𝑏→−(5𝑎²/36𝑐)+0, where 𝑐=𝑎=𝜔=1, 𝛾=𝛿=−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)+10⁻⁶.

(a)

(b)

(c)

(d)