By employing the traveling-wave hypothesis to the coupled nonlinear Schrdinger equation (CNLSE), the constraint relation on metamaterials parameters and the auxiliary equation have been recovered successfully. Conjecturing the values of the coefficients of the auxiliary equation, a diversity of solutions have been constructed while respecting the conditions of existence of these solutions. By choosing adequate parameters, it is obtained W-shape bright, dark, kink, anti-kink like optical solitons for the CNLSE which controls waves in magneto-optic waveguides in the presence of cross-phase modulation (XMP). To deal with the influence of the XMP to Modulation Instability (MI), the linearization technique was adopted and the continuous wave (CW) solutions were used to obtaining the dispersion relation as well as the associated MI gain spectrum. The study of the MI gain spectrum have been done in the normal and anomalous dispersive regimes associated with zero-birefringence, linear-birefringence and circular birefringence. The MI gain spectrum curves illustrating the miscellaneous of optical solitons in the magneto-optic waveguides were obtained. It is noted that these results sufficiently illustrate the dynamic of the nonlinear optic fibers through the 3D and 2D spatiotemporal plot evolutions.

通过将行波假设应用于非线性非线性薛定inger方程（CNLSE），已成功恢复了超材料参数和辅助方程的约束关系。推测辅助方程系数的值，在考虑到这些解的存在条件的同时，已经构造了多种解。通过选择适当的参数，可以为CNLSE获得W形的亮，暗，扭结，反扭结状的光学孤子，它们在存在交叉相位调制（XMP）的情况下控制磁光波导中的波。为了处理XMP对调制不稳定性（MI）的影响，采用了线性化技术，并使用连续波（CW）解获得了色散关系以及相关的MI增益谱。MI增益谱的研究已经在与零双折射，线性双折射和圆形双折射相关的正常和异常色散状态下进行。获得了MI增益谱曲线，其示出了磁光波导中的各种光学孤子。注意，这些结果充分说明了非线性光纤通过3D和2D时空图演变的动态。