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

Figure 11

(The four symmetric solitary waves become two trivial waves.) The varying process for the figures of 𝜑^±_𝑒 and 𝜑^±_𝑓 when 𝜇>0,𝜇≠|𝜇₀|,(𝑞,𝑝)∈𝐴₁₁, and 𝑝→𝑞²/4𝑟+0, where 𝑟=−1, 𝑞=4,𝑙₇∶𝑝=𝑞²/4𝑟=−4,and𝜇=1 and (a) 𝑝=−3.5, (b) 𝑝=−4+10⁻¹, (c) 𝑝=−4+10⁻², and (d) 𝑝=−4+10⁻⁵.

(a)

(b)

(c)

(d)