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

Figure 3

Two kink waves are bifurcated from two peak-solitary waves. The varying process for the figures of 𝑣₅(𝜉) and 𝑣₆(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