Some Explicit Expressions and Interesting Bifurcation Phenomena for Nonlinear Waves in Generalized Zakharov Equations

Figure 14

(The two tall-kink waves are bifurcated form two periodic waves.) The varying process for the figures of 𝜑^±_𝑗 when (𝑞,𝑝)∈𝐴₁₁ and 𝑝→𝑞²/4𝑟+0, where 𝑟=−1,𝑞=4,and𝑙₇∶𝑝=𝑞²/4𝑟=−4 and (a) 𝑝=−3.5, (b) 𝑝=−4+10⁻¹, (c) 𝑝=−4+10⁻³, and (d) 𝑝=−4+10⁻⁵.

(a)

(b)

(c)

(d)