(color online) Traveling solitons when ω = 1, β = 1, η = 0.5, V = −0.155, α = −0.5. h = 0.5 (green); h = 1 (pink). Evolution of the traveling soliton is given in 3-dimensional figure (c) under the situation of ω = 1, β = 1, η = 0.5, V = −0.155, α = −0.5, and h = 1. (d) Several soliton modes at different values of z.