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

Figure 12

(The two pairs of 1-blow-up waves are bifurcated from the four pairs of 1-blow-up waves.) The varying process for the figures of 𝜑^±_𝑒 and 𝜑^±_𝑓 when 𝜇<0,𝜇≠−|𝜇₀|,(𝑞,𝑝)∈𝐴₄, and 𝑝→3𝑞²/16𝑟+0, where 𝑟=1,𝑞=−4,𝑙₂∶𝑝=3𝑞²/16𝑟=3,and𝜇=−4 and (a) 𝑝=3+10⁻², (b) 𝑝=3+10⁻⁴, (c) 𝑝=3+10⁻⁶, and (d) 𝑝=3+10⁻⁹.

(a)

(b)

(c)

(d)