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

Figure 7

(The four low-kink waves are bifurcated from four 1-blow-up waves.) The varying process for the figures of 𝜑^±_𝑐 and 𝜑^±_𝑑 when (𝑞,𝑝)∈𝐴₄,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+10⁻⁶, and (d) 𝑝=3+10⁻⁹.

(a)

(b)

(c)

(d)