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

Figure 8

The solitary waves turn into the compactons. The varying process for the figures of 𝑣₉(𝜉) and 𝑣₁₀(𝜉) when 𝛼₁>0, 𝛽≠0, and 𝛾→0+0 where 𝛼₁=2.

(a) 𝛽=−9,𝛾=1×10⁻¹

(b) 𝛽=−9,𝛾=1×10⁻⁴

(c) 𝛽=−9,𝛾=1×10⁻⁸

(d) 𝛽=9,𝛾=1×10⁻¹

(e) 𝛽=9,𝛾=1×10⁻⁴

(f) 𝛽=9,𝛾=1×10⁻⁸