Dark optical solitons in quadratic nonlinear media with spatio-temporal dispersion

Exact optical solitons, in a quadratic nonlinear medium in the presence of spatio-temporal dispersion, intermodal dispersion as well as driven (or forcing), have been investigated. The tool of integration that is applied for this model is Jacobian elliptic equation expansion approach. As a consequence, Jacobian elliptic periodic traveling waves as well as dark solitons are derived along with the corresponding constraint conditions.