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

Figure 13

(The 1-blow-up waves are bifurcated from the periodic blow-up waves.) The varying process for the figures of 𝜑^±_𝑗 when (𝑞,𝑝)∈𝐴₄ and 𝑝→𝑞²/4𝑟−0, where 𝑟=1,𝑞=−4,and𝑙₁∶𝑝=𝑞²/4𝑟=4 and (a) 𝑝=4−10⁻¹, (b) 𝑝=4−10⁻², (c) 𝑝=4−10⁻⁴, and (d) 𝑝=4−10⁻⁶.

(a)

(b)

(c)

(d)