Fig. 1. Typical dipolar lattice solitons in two channels. Out-of-phase dipolar solitons with propagation constants (a) β=0.6 and (b) β=2 in two channels (type I), in-phase dipolar solitons with propagation constants (c) β=0.6 and (d) β=2 in two channels (type II). Here, the dashed and solid lines correspond to the optical lattice pR(x) and the amplitude w(x) of the light field. Other parameters are p=1 and Ω=2

Fig. 2. Typical out-of-phase dipolar lattice solitons with propagation constants (a) β=0.5 and (b) β=2 in single channel. Here, the dashed and solid lines correspond to the optical lattice pR(x) and the amplitude w(x) of the light field. Other parameters are p=1 and Ω=1

Fig. 3. Dependence of (a) energy flow U and (b) growth rate Im λ of dipolar lattice soliton on propagation constant β. Other parameters are p=1, Ω=2 for type I and II dipolar solitons or Ω=1 for type III dipolar solitons

Fig. 4. Typical tripolar lattice solitons in three channels. Out-of-phase tripolar solitons with propagation constants (a) β=0.6 and (b) β=2 in three channels (type I), in-phase tripolar solitons with propagation constants (c) β=0.6 and (d) β=2 in three channels (type II). Here, the dashed and solid lines correspond to the optical lattice pR(x) and the amplitude w(x) of the light field. Other parameters are p=1 and Ω=2

Fig. 5. Typical out-of-phase tripolar lattice solitons with propagation constants (a) β=0.8 and (b) β=2 in single channel. Here, the dashed and solid lines correspond to the optical lattice pR(x) and the amplitude w(x) of the light field. Other parameters are p=1 and Ω=1

Fig. 6. Dependence of (a) energy flow U and (b) growth rate Im λ of tripolar lattice soliton on propagation constant β. Other parameters are p=1 and Ω=2 for type I and II tripolar solitons and Ω=1 for type III tripolar solitons

Fig. 7. Typical evolvement diagrams of the two-channel out-of-phase dipolar solitons in the system described by Eqs. (1) and (3) for (a) β=0.5, (b) β=1, (c) β=2 and (d) β=3. Other parameters are p0=1, z0=20 and Ω=2

Fig. 8. Typical evolvement diagrams of the three-channel out-of-phase tripolar solitons in the system described by Eqs.(1) and (3) for (a) β=0.5, (b) β=1, (c) β=2 and (d) β=3. Other parameters are p0=1, z0=20 and Ω=2

Fig. 9. Typical evolvement diagrams of the two-channel in-phase dipolar solitons in the system described by Eqs.(1) and (3) for (a) β=0.5, (b) β=1, (c) β=2 and (d) β=3. Other parameters are p0=1, z0=20 and Ω=2

Fig. 10. Typical evolvement diagrams of the three-channel in-phase tripolar solitons in the system described by Eqs. (1) and (3) for (a) β=0.5, (b) β=1, (c) β=2 and (d) β=3. Other parameters are p0=1, z0=20 and Ω=2

Fig. 11. Typical evolvement diagrams of the single-channel out-of-phase dipolar solitons in the system described by Eqs. (1) and (3) for (a) β=0.1, (b) β=0.5, (c) β=1 and (d) β=2. Other parameters are p0=1, z0=20 and Ω=1

Fig. 12. Typical evolvement diagrams of the single-channel out-of-phase tripolar solitons in the system described by Eqs.(1) and (3) for (a) β=0.05, (b) β=0.5, (c) β=1 and (d) β=2. Other parameters are p0=1, z0=20 and Ω=1