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

Figure 10

(The four low-kink waves are bifurcated from the four antisymmetric solitary 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+10⁻¹, (b) 𝑝=3+10⁻³, (c) 𝑝=3+10⁻⁵, and (d) 𝑝=3+10⁻⁷.

(a)

(b)

(c)

(d)