Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of the Equation

Figure 2

The bifurcation sets and phase portrait of system (10) as for 𝑘<−1.

(a) (𝑐,𝑔)∈𝐵₁

(b) (𝑐,𝑔)∈𝐵₂

(c) (𝑐,𝑔)∈𝐵₃

(d) (𝑐,𝑔)∈𝐵₄

(e) (𝑐,𝑔)∈𝐵₅

(f) (𝑐,𝑔)∈𝐵₆

(g) (𝑐,𝑔)∈𝐵₇

(h) (𝑐,𝑔)∈𝐵₈

(i) (𝑐,𝑔)∈𝐵₉

(j) (𝑐,𝑔)∈𝐵₁₀

(k) (𝑐,𝑔)∈𝐵₁₁

(l) (𝑐,𝑔)∈𝐵₁₂

(m) (𝑐,𝑔)∈𝐵₁₃

(n) (𝑐,𝑔)∈𝐵₁₄