(color online) Traveling soliton with parameters being ω = 1, β = 1, η = 0.5, V = −0.25, α = −0.5, and h = 0.5, and initial data being F 0 ^ ( q ) = cos ( q ) sech ( q ) , G 0 ˜ ( q ) = sech ( q ) tanh ( q ) . Panels (a) and (b) show the shape of F(ξ) and G(ξ) in physical space, respectively. Panel (c) displays the evolution of the traveling soliton. Panel (d) gives several soliton modes at different values of z.