During my research I performed some numerics and videos. These simulations train our intuition about the dynamics of the PDE. Also in Youtube one can find some interesting real experiments and their results.

Example 1:

Example 2:

Example 3:

KSPE_{11} corresponds to β identically a constant; KSPE_{12} corresponds to β(x)=x; KSPE_{21} corresponds to β(x)=x^{2}; KSPE_{22} corresponds to β(x)=log(1+x)

KSPP_{11} corresponds to β = α =1; KSPP_{12} corresponds to β= 2, α=1.5; KSPP_{21} corresponds to α=β=1.5; KSPP_{22} corresponds to α=1.75, β=2

BL_{1} corresponds to ν=0, μ=0.5 and β=1; BL_{2} corresponds to ν=0.5, α=0.5, μ=0.5 and β=0.5

KS_{1} corresponds to γ=1, δ=1, ε=0.01; KS_{2} corresponds to ε=0.8, δ=0.5, γ=1.45