Dynamical analysis and new solitary wave patterns of coupled nonlinear Schrödinger model arising in birefringent fibers

Coupled nonlinear Schrödinger type equation is used to represent the transmission of optical signals in birefringent fibers. These types of equations are significant models for a vast range of disciplines, including fluids, nonlinear optics, the theory of deep ocean waves etc. In this manuscript, coupled nonlinear Schrödinger type equation is investigated by using two techniques namely, the G^′/(bG^′+G+a)-expansion method and the modified Jacobi elliptic expansion schemes. Furthermore, modulation instability analysis is performed on our model. The extracted solutions show dark, Kink and singular solitons behaviors, which are depicted graphically by using surface and line plots. The obtained solutions are unique and novel. The employed integration techniques are widely used to examine exact solutions of various partial differential equations.