v J [ 3 ] with α=1, t = 0, p 1 = 2 / 3 , p 2 = 3 / 5 , p 3 = 1 / 2 . (a) Periodic solution: ϕ ( y ) = sn ( y , 3 / 10 ) , k 1 = 3 / 4 , k 2 = 1 / 2 , k 3 = 1 / 3 , η 1 0 = − 10 , η 2 0 = 5 , η 3 0 = − 8 ; (b) Dormion-type-I soliton: ϕ ( y ) = cn ( y , 1 ) , k 1 = 3 / 4 , k 2 = 1 / 2 , k 3 = 1 / 3 , η 1 0 = − 5 , η 2 0 = 5 , η 3 0 = 7 ; (c) Dark dormion-type-II soliton: ϕ ( y ) = sn ( y , 1 ) , k 1 = 3 / 4 , k 2 = 1 / 2 , k 3 = 1 / 3 , η 1 0 = − 10 , η 2 0 = 0 , η 3 0 = − 8 ; (d) Mixed dormion-type-III soliton: ϕ ( y ) = sn ( y , 1 / 2 ) / ( y 2 + 1 ) , k 1 = 3 / 4 , k 2 = − 1 / 2 , k 3 = − 1 / 3 , η 1 0 = 0 , η 2 0 = 16 , η 3 0 = − 4 .