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

Figure 5

(The symmetric periodic waves become two trivial waves.) The varying process for the figures of 𝜑^±_𝑎0 and 𝜑^±_𝑏 when (𝑞,𝑝)∈𝐴₁₂ and 𝑝→3𝑞²/16𝑟+0, where 𝑟=−1,  𝑞=4,and𝑙₆∶𝑝=3𝑞²/16𝑟=−3 and (a) 𝑝=−3+10⁻¹, (b) 𝑝=−3+10⁻², (c) 𝑝=−3+10⁻³, and (d) 𝑝=−3+10⁻⁶.

(a)

(b)

(c)

(d)