One-soliton equation (12) with α=1, η 1 0 = 0 , t = 0. (a) Bright soliton v [ 1 ] : k 1 = − 3 / 4 , p 1 = 1 ; (b) Dark soliton v [ 1 ] : k 1 = 3 / 4 , p 1 = 1 ; (c) Dark soliton r [ 1 ] : k 1 = 3 / 4 , p 1 = 1 .