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

Figure 3

(The 2-blow-up waves are bifurcated from the periodic-blow-up waves.) The varying process for the figures of 𝜑^±_𝑏 when (𝑞,𝑝)∈𝐴₂ and 𝑝→0−0, where 𝑟=1,  𝑞=−4 and (a) 𝑝=0−1, (b) 𝑝=0−0.5, (c) 𝑝=0−0.1, and (d) 𝑝=0−0.01.

(a)

(b)

(c)

(d)