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

Figure 6

(The four low-kink waves are bifurcated from four symmetric solitary waves.) The varying process for the figures of 𝜑^±_𝑐 and 𝜑^±_𝑑 when (𝑞,𝑝)∈𝐴₃,𝜆>0,𝜆≠𝜆₀/12 and 𝑝→3𝑞²/16𝑟−0, where 𝑟=1,𝑞=−4,𝜆=4,and𝑙₂∶𝑝=3𝑞²/16𝑟=3 and (a) 𝑝=3−10⁻¹, (b) 𝑝=3−10⁻³, (c) 𝑝=3−10⁻⁷, and (d) 𝑝=3−10⁻⁹.

(a)

(b)

(c)

(d)