In this paper, it is demonstrated theoretically that, under the strong dispersion condition, the optical waveguides made of the media with non-central symmetry where the second order nonlinear susceptibility (SONS) is not zero, e.g.the thin-film waveguides and crystalline fibers, can also support these solitons but the nonlinear-index coefficient (NIC) in the nonlinea schro-dinger equation should be substituted by the effective NIC defined here. The results obtained here can be easily extended to discuss the other nonlinear effects connected with the NIC in the media with noncentral symmetry because of the definition of the effective NIC.
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