Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System

Figure 6

Two kink waves are bifurcated from two valley-solitary waves. The varying process for the figures of 𝑣₇(𝜉) and 𝑣₈(𝜉) when 𝛼₂<0, 𝛽>0, and 𝛾→0−0 where 𝛼₂=−2 and 𝛽=9.

(a) 𝛾=−1×10⁻¹

(b) 𝛾=−1×10⁻⁴

(c) 𝛾=−1×10⁻⁸