Bifurcations and Parametric Representations of Peakon, Solitary Wave and Smooth Periodic Wave Solutions for a Two-Component Degasperis-Procesi Equation

Figure 3

The bifurcation sets and phase portraits of system (13) when 𝑘≠0. (a) (𝑐,𝑘)∈𝐵₁. (b) (𝑐,𝑘)∈𝐵₂. (c) (𝑐,𝑘)∈𝐵₃. (d) (𝑐,𝑘)∈𝐵₄. (e) (𝑐,𝑘)∈𝐵₅ (f) (𝑐,𝑘)∈𝐵₆. (g) (𝑐,𝑘)∈𝐵₇. (h) (𝑐,𝑘)∈𝐵₈. (i) (𝑐,𝑘)∈𝐵₉. (j) (𝑐,𝑘)∈𝐵₁₀. (k) (𝑐,𝑘)∈𝐵₁₁. (l) (𝑐,𝑘)∈𝐵₁₂. (m) (𝑐,𝑘)∈𝐵₁₃. (n) (𝑐,𝑘)∈𝐵₁₄. (o) (𝑐,𝑘)∈𝐵₁₅. (p) (𝑐,𝑘)∈𝐵₁₆.

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

(j)

(k)

(l)

(m)

(n)

(o)

(p)