Integral Bifurcation Method together with a Translation-Dilation Transformation for Solving an Integrable 2-Component Camassa-Holm Shallow Water System

Figure 6

The profiles of noncontinuous periodic waves of solutions (3.23) and (3.24) for the given parameters: (a) 𝜅=−4, 𝑚=0.6, 𝑡=1; (b) 𝜅=−2, 𝑚=0.6, 𝑡=1.

(a) Periodic kink wave

(b) Singular periodic wave