Bifurcation of Traveling Wave Solutions of the Dual Ito Equation

Figure 2

Phase portraits of (10) for 𝜙≠−𝑐, taking minus sign. (a) The case for 𝐹(𝑐)>0, −(1/2)𝑐²≤𝑔<(1/4)𝑐²,  𝐹(𝜙₊)<0. (b) The case for 𝐹(𝑐)<0, 𝑔<−(1/2)𝑐²,  𝐹(𝜙₋)<0,  𝐹(𝜙₊)<0. (c) The case for 𝐹(𝑐)<0, 𝑔<−(1/2)𝑐²,  𝐹(𝜙₋)>0,  𝐹(𝜙₊)<0.

(a)

(b)

(c)