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

Figure 2

(The 1-blow-up waves are bifurcated from the periodic-blow-up waves.) The varying process for the figures of 𝜑^±_𝑎0 when (𝑞,𝑝)∈𝐴₁ and 𝑝→0−0, where 𝑟=1, 𝑞=4 and (a) 𝑝=0−10⁻¹, (b) 𝑝=0−10⁻², (c) 𝑝=0−10⁻³, and (d) 𝑝=0−10⁻⁴.

(a)

(b)

(c)

(d)