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

Figure 9

(The four low-kink waves are bifurcated from the four tall-kink waves.) The varying process for the figures of 𝜑^±_𝑒 and 𝜑^±_𝑓 when 𝜇>0,𝜇≠|𝜇₀|,(𝑞,𝑝)∈𝐴₃, and 𝑝→3𝑞²/16𝑟−0, where 𝑟=1,𝑞=−4,𝑙₂∶𝑝=3𝑞²/16𝑟=3,and𝜇=4 and (a) 𝑝=3−0.5, (b) 𝑝=3−10⁻², (c) 𝑝=3−10⁻⁴, and (d) 𝑝=3−10⁻⁶.

(a)

(b)

(c)

(d)