Saturation of the nonlinear refractive index for optical solitons in two-core fibers

This article studies the dynamics of optical solitons in two-core fibers with saturation of the nonlinear refractive index describe by dual power law. The decoupled model is considered with group velocity dispersion, linear coupling coefficients and spatio-temporal dispersion. As the result bright, dark and two forms if singular optical 1-solitons are extracted using ansatz approach. Additionally, the constraint conditions for the existence of these solutions are also listed.