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