Limiting Behavior of Travelling Waves for the Modified Degasperis-Procesi Equation

Figure 1

Travelling waves in (2) as 𝑡=0.

(a) Solitary wave

(b) Solitary wave pointing downwards

(c) Peaked wave

(d) Peaked wave pointing downwards

(e) Cusped wave

(f) Cusped wave pointing downwards

(g) Looped wave

(h) Rotated looped wave

(i) Double kinked wave

(j) Butterfly-like waves

(k) Fractal-like wave

(l) Double stumpon