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

Figure 5

The profiles of smooth periodic waves of solutions (3.20) for the given parameters: 𝜖=1, 𝜎=−1, 𝜅=−4, 𝑣=3, 𝛿=5, 𝑡=1 and different 𝜀-values: (a) 𝜀=−0.2; (b) 𝜀=−2.

(a) Smooth periodic wave

(b) Smooth periodic wave